{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0001","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"af73461433d42b8c39083ba6982b994b1cb8c14b52a2b0de3839e7f161895472","family_id":"qf-function-domain-set","seed":202609303001,"semantic_template":"qf-function-domain-set/{\"A\":[],\"B\":[-2,0,3],\"operation\":\"domain\",\"pairs\":[]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A=∅, B={-2, 0, 3}, ordered pairs=[] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"∅","explanation":"The domain is the explicitly declared input set A=∅; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0002","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1350b583041a7f077814036f7719de34d38ea37dfc795efa83e95ebb592db9c8","family_id":"qf-function-domain-set","seed":202609303002,"semantic_template":"qf-function-domain-set/{\"A\":[],\"B\":[],\"operation\":\"domain\",\"pairs\":[]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"∅","explanation":"The domain is the explicitly declared input set A=∅; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0003","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"666a832ffe71c65e6cc3bd325e9d33f495ea3a06a7db03d3e6fa711bcf1fb646","family_id":"qf-function-domain-set","seed":202609303003,"semantic_template":"qf-function-domain-set/{\"A\":[-10,-9,-8,-7],\"B\":[-4,0,5],\"operation\":\"domain\",\"pairs\":[[-10,5],[-9,-4],[-8,0],[-7,5]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-10, -9, -8, -7}, B={-4, 0, 5}, ordered pairs=[(-10, 5), (-9, -4), (-8, 0), (-7, 5)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-10, -9, -8, -7}","explanation":"The domain is the explicitly declared input set A={-10, -9, -8, -7}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0004","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"481a1c1a02428552fe8e248d7a18e7049e2694d95d6fc4aacd092aec9f23942b","family_id":"qf-function-domain-set","seed":202609303004,"semantic_template":"qf-function-domain-set/{\"A\":[-9,-8],\"B\":[-6,0,7],\"operation\":\"domain\",\"pairs\":[[-9,-6],[-8,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-9, -8}, B={-6, 0, 7}, ordered pairs=[(-9, -6), (-8, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-9, -8}","explanation":"The domain is the explicitly declared input set A={-9, -8}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0005","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1e16f011038ac281b8dcd248b3e39697e9cd6139b96c376e14057242eb3640ce","family_id":"qf-function-domain-set","seed":202609303005,"semantic_template":"qf-function-domain-set/{\"A\":[-8,-7,-6],\"B\":[-8,0,9],\"operation\":\"domain\",\"pairs\":[[-8,0],[-7,9],[-6,-8]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-8, -7, -6}, B={-8, 0, 9}, ordered pairs=[(-8, 0), (-7, 9), (-6, -8)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-8, -7, -6}","explanation":"The domain is the explicitly declared input set A={-8, -7, -6}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0006","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8b9c590c9d59397a38ce11902ed1b82f2460d932e16bae6073fa37b109696b5d","family_id":"qf-function-domain-set","seed":202609303006,"semantic_template":"qf-function-domain-set/{\"A\":[-7,-6,-5,-4],\"B\":[-10,0,11],\"operation\":\"domain\",\"pairs\":[[-7,11],[-6,-10],[-5,0],[-4,11]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-7, -6, -5, -4}, B={-10, 0, 11}, ordered pairs=[(-7, 11), (-6, -10), (-5, 0), (-4, 11)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-7, -6, -5, -4}","explanation":"The domain is the explicitly declared input set A={-7, -6, -5, -4}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0007","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"316b50e94af14432e4fef155789acbb119fbe5f55dcead20c5c5616dc51a393f","family_id":"qf-function-domain-set","seed":202609303007,"semantic_template":"qf-function-domain-set/{\"A\":[-6,-5],\"B\":[-12,0,13],\"operation\":\"domain\",\"pairs\":[[-6,-12],[-5,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-6, -5}, B={-12, 0, 13}, ordered pairs=[(-6, -12), (-5, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-6, -5}","explanation":"The domain is the explicitly declared input set A={-6, -5}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0008","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"67ad695e74814499b76d759c88af0178f9302404490c2cf36bab75e788a19dea","family_id":"qf-function-domain-set","seed":202609303008,"semantic_template":"qf-function-domain-set/{\"A\":[-5,-4,-3],\"B\":[-14,0,15],\"operation\":\"domain\",\"pairs\":[[-5,0],[-4,15],[-3,-14]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-5, -4, -3}, B={-14, 0, 15}, ordered pairs=[(-5, 0), (-4, 15), (-3, -14)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-5, -4, -3}","explanation":"The domain is the explicitly declared input set A={-5, -4, -3}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0009","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"0c09f64d5bb2b33209f22da68c3fe184f3d9c39d04d327e8314bd382a4a2d6c2","family_id":"qf-function-domain-set","seed":202609303009,"semantic_template":"qf-function-domain-set/{\"A\":[-4,-3,-2,-1],\"B\":[-16,0,17],\"operation\":\"domain\",\"pairs\":[[-4,17],[-3,-16],[-2,0],[-1,17]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-4, -3, -2, -1}, B={-16, 0, 17}, ordered pairs=[(-4, 17), (-3, -16), (-2, 0), (-1, 17)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-4, -3, -2, -1}","explanation":"The domain is the explicitly declared input set A={-4, -3, -2, -1}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0010","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b6093c7fac355d6671417bf2af71df46f3f83a0e92c40c5769ce087f267a72e0","family_id":"qf-function-domain-set","seed":202609303010,"semantic_template":"qf-function-domain-set/{\"A\":[-3,-2],\"B\":[-18,0,19],\"operation\":\"domain\",\"pairs\":[[-3,-18],[-2,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-3, -2}, B={-18, 0, 19}, ordered pairs=[(-3, -18), (-2, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-3, -2}","explanation":"The domain is the explicitly declared input set A={-3, -2}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0011","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"22f4e319ae51d0bee042701d63745757c8b802fa6fb030c81ff695db78500963","family_id":"qf-function-domain-set","seed":202609303011,"semantic_template":"qf-function-domain-set/{\"A\":[-2,-1,0],\"B\":[-20,0,21],\"operation\":\"domain\",\"pairs\":[[-2,0],[-1,21],[0,-20]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-2, -1, 0}, B={-20, 0, 21}, ordered pairs=[(-2, 0), (-1, 21), (0, -20)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-2, -1, 0}","explanation":"The domain is the explicitly declared input set A={-2, -1, 0}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0012","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"34b54d6ae3d5b9f9ceb22c0a7b14561a44538c295c2322f8c9f46b3522777ced","family_id":"qf-function-domain-set","seed":202609303012,"semantic_template":"qf-function-domain-set/{\"A\":[-1,0,1,2],\"B\":[-22,0,23],\"operation\":\"domain\",\"pairs\":[[-1,23],[0,-22],[1,0],[2,23]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={-1, 0, 1, 2}, B={-22, 0, 23}, ordered pairs=[(-1, 23), (0, -22), (1, 0), (2, 23)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{-1, 0, 1, 2}","explanation":"The domain is the explicitly declared input set A={-1, 0, 1, 2}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0013","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ec129e0f0542d9a25d6dfbf5b297a83ecb202f0d429f37ebf8023a36076577fd","family_id":"qf-function-domain-set","seed":202609303013,"semantic_template":"qf-function-domain-set/{\"A\":[0,1],\"B\":[-24,0,25],\"operation\":\"domain\",\"pairs\":[[0,-24],[1,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={0, 1}, B={-24, 0, 25}, ordered pairs=[(0, -24), (1, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{0, 1}","explanation":"The domain is the explicitly declared input set A={0, 1}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0014","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2143cbb3eb47964b1db0ed20c88d75a5f8235e9c514db853be19954be690ddaa","family_id":"qf-function-domain-set","seed":202609303014,"semantic_template":"qf-function-domain-set/{\"A\":[1,2,3],\"B\":[-26,0,27],\"operation\":\"domain\",\"pairs\":[[1,0],[2,27],[3,-26]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={1, 2, 3}, B={-26, 0, 27}, ordered pairs=[(1, 0), (2, 27), (3, -26)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{1, 2, 3}","explanation":"The domain is the explicitly declared input set A={1, 2, 3}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0015","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4373f4ecb8293617a8a188d33cd5b6728f7d1a25d70a1e7112b2b590e883f392","family_id":"qf-function-domain-set","seed":202609303015,"semantic_template":"qf-function-domain-set/{\"A\":[2,3,4,5],\"B\":[-28,0,29],\"operation\":\"domain\",\"pairs\":[[2,29],[3,-28],[4,0],[5,29]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={2, 3, 4, 5}, B={-28, 0, 29}, ordered pairs=[(2, 29), (3, -28), (4, 0), (5, 29)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{2, 3, 4, 5}","explanation":"The domain is the explicitly declared input set A={2, 3, 4, 5}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0016","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9531f3d269fd470e73abf843c961b0623ba2e0ac2955288a3dc3b5a1a0fee3e9","family_id":"qf-function-domain-set","seed":202609303016,"semantic_template":"qf-function-domain-set/{\"A\":[3,4],\"B\":[-30,0,31],\"operation\":\"domain\",\"pairs\":[[3,-30],[4,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={3, 4}, B={-30, 0, 31}, ordered pairs=[(3, -30), (4, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{3, 4}","explanation":"The domain is the explicitly declared input set A={3, 4}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0017","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ff686df96da6f45b83dbfb064653bb363902c5d43bd500d17edc1cc021974d6e","family_id":"qf-function-domain-set","seed":202609303017,"semantic_template":"qf-function-domain-set/{\"A\":[4,5,6],\"B\":[-32,0,33],\"operation\":\"domain\",\"pairs\":[[4,0],[5,33],[6,-32]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={4, 5, 6}, B={-32, 0, 33}, ordered pairs=[(4, 0), (5, 33), (6, -32)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{4, 5, 6}","explanation":"The domain is the explicitly declared input set A={4, 5, 6}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0018","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c8a8e9ec7ea23ae0d34b662ac7848b4361bc87e9c42c13dc5d926b35b1bd80ef","family_id":"qf-function-domain-set","seed":202609303018,"semantic_template":"qf-function-domain-set/{\"A\":[5,6,7,8],\"B\":[-34,0,35],\"operation\":\"domain\",\"pairs\":[[5,35],[6,-34],[7,0],[8,35]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={5, 6, 7, 8}, B={-34, 0, 35}, ordered pairs=[(5, 35), (6, -34), (7, 0), (8, 35)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{5, 6, 7, 8}","explanation":"The domain is the explicitly declared input set A={5, 6, 7, 8}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0019","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f40cef3ca91aa1bbb08fb44317f68d2f929dd0a16da99da53b0152974c6af0b2","family_id":"qf-function-domain-set","seed":202609303019,"semantic_template":"qf-function-domain-set/{\"A\":[6,7],\"B\":[-36,0,37],\"operation\":\"domain\",\"pairs\":[[6,-36],[7,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={6, 7}, B={-36, 0, 37}, ordered pairs=[(6, -36), (7, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{6, 7}","explanation":"The domain is the explicitly declared input set A={6, 7}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0020","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a57c342412b97b561b1d30727b04da735afec3cf9e7ea977f5c4a6436cf12de7","family_id":"qf-function-domain-set","seed":202609303020,"semantic_template":"qf-function-domain-set/{\"A\":[7,8,9],\"B\":[-38,0,39],\"operation\":\"domain\",\"pairs\":[[7,0],[8,39],[9,-38]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={7, 8, 9}, B={-38, 0, 39}, ordered pairs=[(7, 0), (8, 39), (9, -38)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{7, 8, 9}","explanation":"The domain is the explicitly declared input set A={7, 8, 9}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0021","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d75e627a13b2f0d6c6a3e57a461d042a3186cd35c0675299ee63e2049ff12519","family_id":"qf-function-domain-set","seed":202609303021,"semantic_template":"qf-function-domain-set/{\"A\":[8,9,10,11],\"B\":[-40,0,41],\"operation\":\"domain\",\"pairs\":[[8,41],[9,-40],[10,0],[11,41]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={8, 9, 10, 11}, B={-40, 0, 41}, ordered pairs=[(8, 41), (9, -40), (10, 0), (11, 41)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{8, 9, 10, 11}","explanation":"The domain is the explicitly declared input set A={8, 9, 10, 11}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0022","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"59c6218a05b84aeecf5616d588edfd3c9fc89a04c7ac9171510945d9b8321295","family_id":"qf-function-domain-set","seed":202609303022,"semantic_template":"qf-function-domain-set/{\"A\":[9,10],\"B\":[-42,0,43],\"operation\":\"domain\",\"pairs\":[[9,-42],[10,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={9, 10}, B={-42, 0, 43}, ordered pairs=[(9, -42), (10, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{9, 10}","explanation":"The domain is the explicitly declared input set A={9, 10}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0023","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6e5708ff583ccc9b492f6dc5c63da052aa3b10f8716c9337612d4f0508e2d2bd","family_id":"qf-function-domain-set","seed":202609303023,"semantic_template":"qf-function-domain-set/{\"A\":[10,11,12],\"B\":[-44,0,45],\"operation\":\"domain\",\"pairs\":[[10,0],[11,45],[12,-44]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={10, 11, 12}, B={-44, 0, 45}, ordered pairs=[(10, 0), (11, 45), (12, -44)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{10, 11, 12}","explanation":"The domain is the explicitly declared input set A={10, 11, 12}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0024","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"340d55fadeda4a8073723b374ab529e222b3a89f07f17ec736d74d4ead66cc6c","family_id":"qf-function-domain-set","seed":202609303024,"semantic_template":"qf-function-domain-set/{\"A\":[11,12,13,14],\"B\":[-46,0,47],\"operation\":\"domain\",\"pairs\":[[11,47],[12,-46],[13,0],[14,47]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={11, 12, 13, 14}, B={-46, 0, 47}, ordered pairs=[(11, 47), (12, -46), (13, 0), (14, 47)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{11, 12, 13, 14}","explanation":"The domain is the explicitly declared input set A={11, 12, 13, 14}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-domain-set-0025","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1c203f4e502561d735c72626705d19e3d987172fa32369158e337a58c12aace3","family_id":"qf-function-domain-set","seed":202609303025,"semantic_template":"qf-function-domain-set/{\"A\":[12,13],\"B\":[-48,0,49],\"operation\":\"domain\",\"pairs\":[[12,-48],[13,0]]}"},"fields":{"title":"Reading the Domain of a Function","stem":"Given the explicit declaration A={12, 13}, B={-48, 0, 49}, ordered pairs=[(12, -48), (13, 0)] and a total function f:A→B, list the domain in increasing order.","answer":{"kind":"short_text","value":"{12, 13}","explanation":"The domain is the explicitly declared input set A={12, 13}; it is not inferred from the outputs."},"skills":["explicit sets","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0001","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ed334a4b7c9895afdad5683808bcb7404e72751cdf352f13b83259637ebc2c72","family_id":"qf-function-codomain-set","seed":202609303101,"semantic_template":"qf-function-codomain-set/{\"A\":[],\"B\":[-2,0,3],\"operation\":\"codomain\",\"pairs\":[]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A=∅, B={-2, 0, 3}, ordered pairs=[] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-2, 0, 3}","explanation":"The codomain is the explicitly declared output set B={-2, 0, 3}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0002","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"344c61719db917ff4d6094199e6383e9877f4f7cc6b4bcd54ed9db6e4360f00b","family_id":"qf-function-codomain-set","seed":202609303102,"semantic_template":"qf-function-codomain-set/{\"A\":[],\"B\":[],\"operation\":\"codomain\",\"pairs\":[]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"∅","explanation":"The codomain is the explicitly declared output set B=∅; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0003","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"35e63434b8e9ead82b4998426fd04313d19a4d981bfb8cdde8e9c349979d643e","family_id":"qf-function-codomain-set","seed":202609303103,"semantic_template":"qf-function-codomain-set/{\"A\":[-10,-9,-8,-7],\"B\":[-4,0,5],\"operation\":\"codomain\",\"pairs\":[[-10,5],[-9,-4],[-8,0],[-7,5]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-10, -9, -8, -7}, B={-4, 0, 5}, ordered pairs=[(-10, 5), (-9, -4), (-8, 0), (-7, 5)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-4, 0, 5}","explanation":"The codomain is the explicitly declared output set B={-4, 0, 5}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0004","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"85cb64369485b3bc3c916c6e580d3ded84008910a8ca248960bce43ccc0c2587","family_id":"qf-function-codomain-set","seed":202609303104,"semantic_template":"qf-function-codomain-set/{\"A\":[-9,-8],\"B\":[-6,0,7],\"operation\":\"codomain\",\"pairs\":[[-9,-6],[-8,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-9, -8}, B={-6, 0, 7}, ordered pairs=[(-9, -6), (-8, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-6, 0, 7}","explanation":"The codomain is the explicitly declared output set B={-6, 0, 7}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0005","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"c470fc2b836d4aa736bf512874af2dca199a73b4fabf340fec06e674abb4fd12","family_id":"qf-function-codomain-set","seed":202609303105,"semantic_template":"qf-function-codomain-set/{\"A\":[-8,-7,-6],\"B\":[-8,0,9],\"operation\":\"codomain\",\"pairs\":[[-8,0],[-7,9],[-6,-8]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-8, -7, -6}, B={-8, 0, 9}, ordered pairs=[(-8, 0), (-7, 9), (-6, -8)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-8, 0, 9}","explanation":"The codomain is the explicitly declared output set B={-8, 0, 9}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0006","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"bf99be2e721e6cf77c1c485315fa2a15e3c85eb8690938b3461ab76767424e6b","family_id":"qf-function-codomain-set","seed":202609303106,"semantic_template":"qf-function-codomain-set/{\"A\":[-7,-6,-5,-4],\"B\":[-10,0,11],\"operation\":\"codomain\",\"pairs\":[[-7,11],[-6,-10],[-5,0],[-4,11]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-7, -6, -5, -4}, B={-10, 0, 11}, ordered pairs=[(-7, 11), (-6, -10), (-5, 0), (-4, 11)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-10, 0, 11}","explanation":"The codomain is the explicitly declared output set B={-10, 0, 11}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0007","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9169934c483dabc4de350156c67c81a68b1fdfb50c9a329ab9911eed1182e4c6","family_id":"qf-function-codomain-set","seed":202609303107,"semantic_template":"qf-function-codomain-set/{\"A\":[-6,-5],\"B\":[-12,0,13],\"operation\":\"codomain\",\"pairs\":[[-6,-12],[-5,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-6, -5}, B={-12, 0, 13}, ordered pairs=[(-6, -12), (-5, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-12, 0, 13}","explanation":"The codomain is the explicitly declared output set B={-12, 0, 13}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0008","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"bf5caee2232f7ec457ff7b0e6f7ee5af1d4890ea4a0e204f549afb483d85409d","family_id":"qf-function-codomain-set","seed":202609303108,"semantic_template":"qf-function-codomain-set/{\"A\":[-5,-4,-3],\"B\":[-14,0,15],\"operation\":\"codomain\",\"pairs\":[[-5,0],[-4,15],[-3,-14]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-5, -4, -3}, B={-14, 0, 15}, ordered pairs=[(-5, 0), (-4, 15), (-3, -14)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-14, 0, 15}","explanation":"The codomain is the explicitly declared output set B={-14, 0, 15}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0009","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7db51796c790011302f089245dd4bd2f8354ad0182ca1dbc0ebd28b16c916bea","family_id":"qf-function-codomain-set","seed":202609303109,"semantic_template":"qf-function-codomain-set/{\"A\":[-4,-3,-2,-1],\"B\":[-16,0,17],\"operation\":\"codomain\",\"pairs\":[[-4,17],[-3,-16],[-2,0],[-1,17]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-4, -3, -2, -1}, B={-16, 0, 17}, ordered pairs=[(-4, 17), (-3, -16), (-2, 0), (-1, 17)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-16, 0, 17}","explanation":"The codomain is the explicitly declared output set B={-16, 0, 17}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0010","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"66719205f83501822b4b77b0d015e5c038845a3a15c0cc61089911a3d3b00963","family_id":"qf-function-codomain-set","seed":202609303110,"semantic_template":"qf-function-codomain-set/{\"A\":[-3,-2],\"B\":[-18,0,19],\"operation\":\"codomain\",\"pairs\":[[-3,-18],[-2,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-3, -2}, B={-18, 0, 19}, ordered pairs=[(-3, -18), (-2, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-18, 0, 19}","explanation":"The codomain is the explicitly declared output set B={-18, 0, 19}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0011","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3e70698f62f2bbc54a8902c59af7d00f1f96bd4fd2351e9ee4d979126939ad87","family_id":"qf-function-codomain-set","seed":202609303111,"semantic_template":"qf-function-codomain-set/{\"A\":[-2,-1,0],\"B\":[-20,0,21],\"operation\":\"codomain\",\"pairs\":[[-2,0],[-1,21],[0,-20]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-2, -1, 0}, B={-20, 0, 21}, ordered pairs=[(-2, 0), (-1, 21), (0, -20)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-20, 0, 21}","explanation":"The codomain is the explicitly declared output set B={-20, 0, 21}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0012","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"ff2a6dc1e96ffd9cc776a53d206a32ba92a97e1515210e94c0e0da232e6ed13c","family_id":"qf-function-codomain-set","seed":202609303112,"semantic_template":"qf-function-codomain-set/{\"A\":[-1,0,1,2],\"B\":[-22,0,23],\"operation\":\"codomain\",\"pairs\":[[-1,23],[0,-22],[1,0],[2,23]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={-1, 0, 1, 2}, B={-22, 0, 23}, ordered pairs=[(-1, 23), (0, -22), (1, 0), (2, 23)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-22, 0, 23}","explanation":"The codomain is the explicitly declared output set B={-22, 0, 23}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0013","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d7eea6587b55b07abbd1e509be4c41f82b50e308808a5e3eeb4fedfd8616a02f","family_id":"qf-function-codomain-set","seed":202609303113,"semantic_template":"qf-function-codomain-set/{\"A\":[0,1],\"B\":[-24,0,25],\"operation\":\"codomain\",\"pairs\":[[0,-24],[1,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={0, 1}, B={-24, 0, 25}, ordered pairs=[(0, -24), (1, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-24, 0, 25}","explanation":"The codomain is the explicitly declared output set B={-24, 0, 25}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0014","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9752c56e0966e8aa6595978f887cc3efc694a51a9bf47b4af245a9b3fd8ba87d","family_id":"qf-function-codomain-set","seed":202609303114,"semantic_template":"qf-function-codomain-set/{\"A\":[1,2,3],\"B\":[-26,0,27],\"operation\":\"codomain\",\"pairs\":[[1,0],[2,27],[3,-26]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={1, 2, 3}, B={-26, 0, 27}, ordered pairs=[(1, 0), (2, 27), (3, -26)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-26, 0, 27}","explanation":"The codomain is the explicitly declared output set B={-26, 0, 27}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0015","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"e127a8a7821854b75851221a9d128cfa46ac78a588ad65291dd7d07260bf202d","family_id":"qf-function-codomain-set","seed":202609303115,"semantic_template":"qf-function-codomain-set/{\"A\":[2,3,4,5],\"B\":[-28,0,29],\"operation\":\"codomain\",\"pairs\":[[2,29],[3,-28],[4,0],[5,29]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={2, 3, 4, 5}, B={-28, 0, 29}, ordered pairs=[(2, 29), (3, -28), (4, 0), (5, 29)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-28, 0, 29}","explanation":"The codomain is the explicitly declared output set B={-28, 0, 29}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0016","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8171d27185baeb23e933c4d7e2d54014b2c978d4f26e3e2ebb15eb735000e593","family_id":"qf-function-codomain-set","seed":202609303116,"semantic_template":"qf-function-codomain-set/{\"A\":[3,4],\"B\":[-30,0,31],\"operation\":\"codomain\",\"pairs\":[[3,-30],[4,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={3, 4}, B={-30, 0, 31}, ordered pairs=[(3, -30), (4, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-30, 0, 31}","explanation":"The codomain is the explicitly declared output set B={-30, 0, 31}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0017","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a0e3d624bcc7c2d43f16c986a662d67d06090638db2b99c166071b8fc3230af1","family_id":"qf-function-codomain-set","seed":202609303117,"semantic_template":"qf-function-codomain-set/{\"A\":[4,5,6],\"B\":[-32,0,33],\"operation\":\"codomain\",\"pairs\":[[4,0],[5,33],[6,-32]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={4, 5, 6}, B={-32, 0, 33}, ordered pairs=[(4, 0), (5, 33), (6, -32)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-32, 0, 33}","explanation":"The codomain is the explicitly declared output set B={-32, 0, 33}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0018","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"81f5b9e9cdfecb5c0977ca279393a6d5cc80a4b78902ec030b77635da81efa2f","family_id":"qf-function-codomain-set","seed":202609303118,"semantic_template":"qf-function-codomain-set/{\"A\":[5,6,7,8],\"B\":[-34,0,35],\"operation\":\"codomain\",\"pairs\":[[5,35],[6,-34],[7,0],[8,35]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={5, 6, 7, 8}, B={-34, 0, 35}, ordered pairs=[(5, 35), (6, -34), (7, 0), (8, 35)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-34, 0, 35}","explanation":"The codomain is the explicitly declared output set B={-34, 0, 35}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0019","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5daa7c4d8605021642db1796dd5486aac5ad0c0e6b56d57f67e88cd7c8c694da","family_id":"qf-function-codomain-set","seed":202609303119,"semantic_template":"qf-function-codomain-set/{\"A\":[6,7],\"B\":[-36,0,37],\"operation\":\"codomain\",\"pairs\":[[6,-36],[7,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={6, 7}, B={-36, 0, 37}, ordered pairs=[(6, -36), (7, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-36, 0, 37}","explanation":"The codomain is the explicitly declared output set B={-36, 0, 37}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0020","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2bb606fde67d7a6d717c9de0a250f907e5b5fba0af92eafa6a72d4d54df1ce23","family_id":"qf-function-codomain-set","seed":202609303120,"semantic_template":"qf-function-codomain-set/{\"A\":[7,8,9],\"B\":[-38,0,39],\"operation\":\"codomain\",\"pairs\":[[7,0],[8,39],[9,-38]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={7, 8, 9}, B={-38, 0, 39}, ordered pairs=[(7, 0), (8, 39), (9, -38)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-38, 0, 39}","explanation":"The codomain is the explicitly declared output set B={-38, 0, 39}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0021","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2a1777fc4dd7e871defe94641935ebe8bfe9d9c9ca1d8825af46599149cce1b2","family_id":"qf-function-codomain-set","seed":202609303121,"semantic_template":"qf-function-codomain-set/{\"A\":[8,9,10,11],\"B\":[-40,0,41],\"operation\":\"codomain\",\"pairs\":[[8,41],[9,-40],[10,0],[11,41]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={8, 9, 10, 11}, B={-40, 0, 41}, ordered pairs=[(8, 41), (9, -40), (10, 0), (11, 41)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-40, 0, 41}","explanation":"The codomain is the explicitly declared output set B={-40, 0, 41}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0022","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"d49356e8a601a91521d601d805e6e9042b677848c40acd0ab338568bc651aaca","family_id":"qf-function-codomain-set","seed":202609303122,"semantic_template":"qf-function-codomain-set/{\"A\":[9,10],\"B\":[-42,0,43],\"operation\":\"codomain\",\"pairs\":[[9,-42],[10,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={9, 10}, B={-42, 0, 43}, ordered pairs=[(9, -42), (10, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-42, 0, 43}","explanation":"The codomain is the explicitly declared output set B={-42, 0, 43}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0023","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1b9904c393947820f93f31ef09db776200c0e42cef1a0e1d7ef02a1eec137961","family_id":"qf-function-codomain-set","seed":202609303123,"semantic_template":"qf-function-codomain-set/{\"A\":[10,11,12],\"B\":[-44,0,45],\"operation\":\"codomain\",\"pairs\":[[10,0],[11,45],[12,-44]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={10, 11, 12}, B={-44, 0, 45}, ordered pairs=[(10, 0), (11, 45), (12, -44)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-44, 0, 45}","explanation":"The codomain is the explicitly declared output set B={-44, 0, 45}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0024","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"560f9e207bc1ac07e1766eac9629e142a132108c6fab4a10ec504d87c01cbf7a","family_id":"qf-function-codomain-set","seed":202609303124,"semantic_template":"qf-function-codomain-set/{\"A\":[11,12,13,14],\"B\":[-46,0,47],\"operation\":\"codomain\",\"pairs\":[[11,47],[12,-46],[13,0],[14,47]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={11, 12, 13, 14}, B={-46, 0, 47}, ordered pairs=[(11, 47), (12, -46), (13, 0), (14, 47)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-46, 0, 47}","explanation":"The codomain is the explicitly declared output set B={-46, 0, 47}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-codomain-set-0025","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"4513967081561675a714e67a1318f399871435c59f12f6594f593bc1a2b71dd5","family_id":"qf-function-codomain-set","seed":202609303125,"semantic_template":"qf-function-codomain-set/{\"A\":[12,13],\"B\":[-48,0,49],\"operation\":\"codomain\",\"pairs\":[[12,-48],[13,0]]}"},"fields":{"title":"Reading the Codomain of a Function","stem":"Given the explicit declaration A={12, 13}, B={-48, 0, 49}, ordered pairs=[(12, -48), (13, 0)] and a total function f:A→B, list the codomain in increasing order.","answer":{"kind":"short_text","value":"{-48, 0, 49}","explanation":"The codomain is the explicitly declared output set B={-48, 0, 49}; it is not guessed from the table."},"skills":["declared codomain","total functions"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0001","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2ac60aa4e8d8176602199c7730f7360f1049c4c72d8c9a98a5418e2753f47ff7","family_id":"qf-function-range-set","seed":202609303201,"semantic_template":"qf-function-range-set/{\"A\":[],\"B\":[-2,0,3],\"operation\":\"range\",\"pairs\":[]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A=∅, B={-2, 0, 3}, ordered pairs=[] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"∅","explanation":"Collect the outputs that actually occur and remove duplicates. The range is ∅; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0002","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2f5b41cb42c56b3eb309f909de9f6ab1230d1fd5ab9bb39bc811383bdabaf8d4","family_id":"qf-function-range-set","seed":202609303202,"semantic_template":"qf-function-range-set/{\"A\":[],\"B\":[],\"operation\":\"range\",\"pairs\":[]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"∅","explanation":"Collect the outputs that actually occur and remove duplicates. The range is ∅; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0003","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6e22bfba522109f06253d13401eaa42905303a12332cd114665bf4cd96523329","family_id":"qf-function-range-set","seed":202609303203,"semantic_template":"qf-function-range-set/{\"A\":[-10,-9,-8,-7],\"B\":[-4,0,5],\"operation\":\"range\",\"pairs\":[[-10,5],[-9,-4],[-8,0],[-7,5]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-10, -9, -8, -7}, B={-4, 0, 5}, ordered pairs=[(-10, 5), (-9, -4), (-8, 0), (-7, 5)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-4, 0, 5}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-4, 0, 5}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0004","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"2373fab083eea33c3cb3b232f840e41a49fb3baea4463865d43a057626c68a50","family_id":"qf-function-range-set","seed":202609303204,"semantic_template":"qf-function-range-set/{\"A\":[-9,-8],\"B\":[-6,0,7],\"operation\":\"range\",\"pairs\":[[-9,-6],[-8,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-9, -8}, B={-6, 0, 7}, ordered pairs=[(-9, -6), (-8, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-6, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-6, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0005","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"130e18601558924ae7fe80767a526b04b844efa13eeb113c972cca1eb4839314","family_id":"qf-function-range-set","seed":202609303205,"semantic_template":"qf-function-range-set/{\"A\":[-8,-7,-6],\"B\":[-8,0,9],\"operation\":\"range\",\"pairs\":[[-8,0],[-7,9],[-6,-8]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-8, -7, -6}, B={-8, 0, 9}, ordered pairs=[(-8, 0), (-7, 9), (-6, -8)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-8, 0, 9}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-8, 0, 9}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0006","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9fa1ebd00742a046b26e706d914bb6f2e67f3ae387c8b96114e608c8974551a6","family_id":"qf-function-range-set","seed":202609303206,"semantic_template":"qf-function-range-set/{\"A\":[-7,-6,-5,-4],\"B\":[-10,0,11],\"operation\":\"range\",\"pairs\":[[-7,11],[-6,-10],[-5,0],[-4,11]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-7, -6, -5, -4}, B={-10, 0, 11}, ordered pairs=[(-7, 11), (-6, -10), (-5, 0), (-4, 11)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-10, 0, 11}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-10, 0, 11}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0007","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f064342a42201769096f4a25274b05ee71bf11ea6733bbd1aec43aeb7a78447b","family_id":"qf-function-range-set","seed":202609303207,"semantic_template":"qf-function-range-set/{\"A\":[-6,-5],\"B\":[-12,0,13],\"operation\":\"range\",\"pairs\":[[-6,-12],[-5,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-6, -5}, B={-12, 0, 13}, ordered pairs=[(-6, -12), (-5, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-12, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-12, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0008","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b9d7c24fd69bb2a4fbd63162d23421baafbaa4828ab9b9453152c76c1cc66404","family_id":"qf-function-range-set","seed":202609303208,"semantic_template":"qf-function-range-set/{\"A\":[-5,-4,-3],\"B\":[-14,0,15],\"operation\":\"range\",\"pairs\":[[-5,0],[-4,15],[-3,-14]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-5, -4, -3}, B={-14, 0, 15}, ordered pairs=[(-5, 0), (-4, 15), (-3, -14)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-14, 0, 15}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-14, 0, 15}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0009","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"94e07ed5f75afb3f74e78adee2dbd5d558175a807e95d2d651fcc5f8b6806b93","family_id":"qf-function-range-set","seed":202609303209,"semantic_template":"qf-function-range-set/{\"A\":[-4,-3,-2,-1],\"B\":[-16,0,17],\"operation\":\"range\",\"pairs\":[[-4,17],[-3,-16],[-2,0],[-1,17]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-4, -3, -2, -1}, B={-16, 0, 17}, ordered pairs=[(-4, 17), (-3, -16), (-2, 0), (-1, 17)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-16, 0, 17}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-16, 0, 17}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0010","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"bcd3faa2263aa2b9587005229c8494ee728d58d0c8e514a06cf5039c59fdf73d","family_id":"qf-function-range-set","seed":202609303210,"semantic_template":"qf-function-range-set/{\"A\":[-3,-2],\"B\":[-18,0,19],\"operation\":\"range\",\"pairs\":[[-3,-18],[-2,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-3, -2}, B={-18, 0, 19}, ordered pairs=[(-3, -18), (-2, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-18, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-18, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0011","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8c418b5687086a3bb7674650a9721ea767392b903d095e25b839e6337f66613f","family_id":"qf-function-range-set","seed":202609303211,"semantic_template":"qf-function-range-set/{\"A\":[-2,-1,0],\"B\":[-20,0,21],\"operation\":\"range\",\"pairs\":[[-2,0],[-1,21],[0,-20]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-2, -1, 0}, B={-20, 0, 21}, ordered pairs=[(-2, 0), (-1, 21), (0, -20)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-20, 0, 21}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-20, 0, 21}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0012","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5c62eebaf49240f74362737ca149682277c9ce86746b5749d66fd9310a97be00","family_id":"qf-function-range-set","seed":202609303212,"semantic_template":"qf-function-range-set/{\"A\":[-1,0,1,2],\"B\":[-22,0,23],\"operation\":\"range\",\"pairs\":[[-1,23],[0,-22],[1,0],[2,23]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={-1, 0, 1, 2}, B={-22, 0, 23}, ordered pairs=[(-1, 23), (0, -22), (1, 0), (2, 23)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-22, 0, 23}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-22, 0, 23}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0013","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9c17474c0849e18e842c5c4c3a8566508155d3063b5925b29bb2cec52b2bb998","family_id":"qf-function-range-set","seed":202609303213,"semantic_template":"qf-function-range-set/{\"A\":[0,1],\"B\":[-24,0,25],\"operation\":\"range\",\"pairs\":[[0,-24],[1,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={0, 1}, B={-24, 0, 25}, ordered pairs=[(0, -24), (1, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-24, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-24, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0014","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"14f06b564b9ce6c3aea32228b1fa9d0fc7fe3977fd6bc0ad9d5c45cade617983","family_id":"qf-function-range-set","seed":202609303214,"semantic_template":"qf-function-range-set/{\"A\":[1,2,3],\"B\":[-26,0,27],\"operation\":\"range\",\"pairs\":[[1,0],[2,27],[3,-26]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={1, 2, 3}, B={-26, 0, 27}, ordered pairs=[(1, 0), (2, 27), (3, -26)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-26, 0, 27}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-26, 0, 27}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0015","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3fce6facefbbe87e330664e7ea180a355fd7839c231519b34152e032acd40a26","family_id":"qf-function-range-set","seed":202609303215,"semantic_template":"qf-function-range-set/{\"A\":[2,3,4,5],\"B\":[-28,0,29],\"operation\":\"range\",\"pairs\":[[2,29],[3,-28],[4,0],[5,29]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={2, 3, 4, 5}, B={-28, 0, 29}, ordered pairs=[(2, 29), (3, -28), (4, 0), (5, 29)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-28, 0, 29}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-28, 0, 29}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0016","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f8a05fa4866d06e87ebe062cb460509cab19d726758dc51bd7335105e92b91d4","family_id":"qf-function-range-set","seed":202609303216,"semantic_template":"qf-function-range-set/{\"A\":[3,4],\"B\":[-30,0,31],\"operation\":\"range\",\"pairs\":[[3,-30],[4,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={3, 4}, B={-30, 0, 31}, ordered pairs=[(3, -30), (4, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-30, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-30, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0017","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"20f8e8e09417b2a8084c465e156ff9ed48603cf02240992dfb9689253d313dbd","family_id":"qf-function-range-set","seed":202609303217,"semantic_template":"qf-function-range-set/{\"A\":[4,5,6],\"B\":[-32,0,33],\"operation\":\"range\",\"pairs\":[[4,0],[5,33],[6,-32]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={4, 5, 6}, B={-32, 0, 33}, ordered pairs=[(4, 0), (5, 33), (6, -32)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-32, 0, 33}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-32, 0, 33}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0018","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"554189ba77c0aa04f737c20639ed3e7cd70d408f0945f54cc03cba0289edd4ad","family_id":"qf-function-range-set","seed":202609303218,"semantic_template":"qf-function-range-set/{\"A\":[5,6,7,8],\"B\":[-34,0,35],\"operation\":\"range\",\"pairs\":[[5,35],[6,-34],[7,0],[8,35]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={5, 6, 7, 8}, B={-34, 0, 35}, ordered pairs=[(5, 35), (6, -34), (7, 0), (8, 35)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-34, 0, 35}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-34, 0, 35}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0019","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"cd01f7448933f74fc24f10feb785e8458c5a586f8e3bcc033f10ef8ed53d005c","family_id":"qf-function-range-set","seed":202609303219,"semantic_template":"qf-function-range-set/{\"A\":[6,7],\"B\":[-36,0,37],\"operation\":\"range\",\"pairs\":[[6,-36],[7,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={6, 7}, B={-36, 0, 37}, ordered pairs=[(6, -36), (7, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-36, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-36, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0020","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"616bb6d24c6f60d71632e5c8065e407b7805a72c5d94803579f79122b71b9d87","family_id":"qf-function-range-set","seed":202609303220,"semantic_template":"qf-function-range-set/{\"A\":[7,8,9],\"B\":[-38,0,39],\"operation\":\"range\",\"pairs\":[[7,0],[8,39],[9,-38]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={7, 8, 9}, B={-38, 0, 39}, ordered pairs=[(7, 0), (8, 39), (9, -38)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-38, 0, 39}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-38, 0, 39}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0021","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"155f2a5fb43b85ce079d13d6d92cf9083935b684a4e61d99656294c5dc68e3bf","family_id":"qf-function-range-set","seed":202609303221,"semantic_template":"qf-function-range-set/{\"A\":[8,9,10,11],\"B\":[-40,0,41],\"operation\":\"range\",\"pairs\":[[8,41],[9,-40],[10,0],[11,41]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={8, 9, 10, 11}, B={-40, 0, 41}, ordered pairs=[(8, 41), (9, -40), (10, 0), (11, 41)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-40, 0, 41}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-40, 0, 41}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0022","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"6cbfb41c530da09e10f984991da9f9d728600e9381e272a89ab8a0d566c236fe","family_id":"qf-function-range-set","seed":202609303222,"semantic_template":"qf-function-range-set/{\"A\":[9,10],\"B\":[-42,0,43],\"operation\":\"range\",\"pairs\":[[9,-42],[10,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={9, 10}, B={-42, 0, 43}, ordered pairs=[(9, -42), (10, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-42, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-42, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0023","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"3b06f07864ea95796e51313b828682c3c2763876554fa4af89a6c735015cc066","family_id":"qf-function-range-set","seed":202609303223,"semantic_template":"qf-function-range-set/{\"A\":[10,11,12],\"B\":[-44,0,45],\"operation\":\"range\",\"pairs\":[[10,0],[11,45],[12,-44]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={10, 11, 12}, B={-44, 0, 45}, ordered pairs=[(10, 0), (11, 45), (12, -44)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-44, 0, 45}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-44, 0, 45}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0024","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"df19b3437a526b5aec50cf87f28be8a42d9ff73999839b747a6f41447b0d574c","family_id":"qf-function-range-set","seed":202609303224,"semantic_template":"qf-function-range-set/{\"A\":[11,12,13,14],\"B\":[-46,0,47],\"operation\":\"range\",\"pairs\":[[11,47],[12,-46],[13,0],[14,47]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={11, 12, 13, 14}, B={-46, 0, 47}, ordered pairs=[(11, 47), (12, -46), (13, 0), (14, 47)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-46, 0, 47}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-46, 0, 47}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-range-set-0025","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"80a5c8748792b3aa599e07bd314955a5e736120e4eeb0fd3931aafff480b4f69","family_id":"qf-function-range-set","seed":202609303225,"semantic_template":"qf-function-range-set/{\"A\":[12,13],\"B\":[-48,0,49],\"operation\":\"range\",\"pairs\":[[12,-48],[13,0]]}"},"fields":{"title":"Reading the Range of a Function","stem":"Given the explicit declaration A={12, 13}, B={-48, 0, 49}, ordered pairs=[(12, -48), (13, 0)] and a total function f:A→B, list the attained range in increasing order.","answer":{"kind":"short_text","value":"{-48, 0}","explanation":"Collect the outputs that actually occur and remove duplicates. The range is {-48, 0}; unattained codomain elements are not added."},"skills":["image set","deduplication of repeated outputs"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0001","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5e7922b85f2d5fd7f45d251c4f71a2b08557ca7a8141b715d7bfeb867b4d14dd","family_id":"qf-function-table-validity","seed":202609303301,"semantic_template":"qf-function-table-validity/{\"A\":[],\"B\":[],\"operation\":\"validity\",\"pairs\":[]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A=∅, B=∅, ordered pairs=[], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"Yes","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is Yes; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0002","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"5ab24712770f4d740a0e50ca46cd83282b32ec0b580c5b29b242a4d155e6eaca","family_id":"qf-function-table-validity","seed":202609303302,"semantic_template":"qf-function-table-validity/{\"A\":[0],\"B\":[],\"operation\":\"validity\",\"pairs\":[]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={0}, B=∅, ordered pairs=[], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0003","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"432dbcfced20d539433085ae488c4ce4bb3bd1c1505f61186b42579da78d269f","family_id":"qf-function-table-validity","seed":202609303303,"semantic_template":"qf-function-table-validity/{\"A\":[0],\"B\":[],\"operation\":\"validity\",\"pairs\":[[0,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={0}, B=∅, ordered pairs=[(0, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0004","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"34a162c54f854ae38916b58366eb1a01d61405634872c20d5bf8b70dd2485a58","family_id":"qf-function-table-validity","seed":202609303304,"semantic_template":"qf-function-table-validity/{\"A\":[-9,-8],\"B\":[-6,0,7],\"operation\":\"validity\",\"pairs\":[[-9,-6],[-9,0],[-8,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-9, -8}, B={-6, 0, 7}, ordered pairs=[(-9, -6), (-8, 0), (-9, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0005","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"fb259c675ff2e1a4e6e7e7e52aba7f019dd1f8b821c62a56a6db8e7f1e5999c1","family_id":"qf-function-table-validity","seed":202609303305,"semantic_template":"qf-function-table-validity/{\"A\":[-8,-7,-6],\"B\":[-8,0,9],\"operation\":\"validity\",\"pairs\":[[-8,0],[-7,9],[-6,-8],[-5,-8]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-8, -7, -6}, B={-8, 0, 9}, ordered pairs=[(-8, 0), (-7, 9), (-6, -8), (-5, -8)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0006","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"0e44a0e4c89cd6781851acf027fe207130a4aaa9bd1494810314d5a98f9c886a","family_id":"qf-function-table-validity","seed":202609303306,"semantic_template":"qf-function-table-validity/{\"A\":[-7,-6,-5,-4],\"B\":[-10,0,11],\"operation\":\"validity\",\"pairs\":[[-7,11],[-6,-10],[-5,0],[-4,11]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-7, -6, -5, -4}, B={-10, 0, 11}, ordered pairs=[(-7, 11), (-6, -10), (-5, 0), (-4, 11)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"Yes","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is Yes; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0007","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"1ab90dbbf448142de6fe42ec55526cbf60e7287a84290aef423dfc0a17468387","family_id":"qf-function-table-validity","seed":202609303307,"semantic_template":"qf-function-table-validity/{\"A\":[-6,-5],\"B\":[-12,0,13],\"operation\":\"validity\",\"pairs\":[[-5,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-6, -5}, B={-12, 0, 13}, ordered pairs=[(-5, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0008","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b5722dc81553b7c3a3a445eeca7bd0976d814bac9bb8fedfef6899c4b4a83703","family_id":"qf-function-table-validity","seed":202609303308,"semantic_template":"qf-function-table-validity/{\"A\":[-5,-4,-3],\"B\":[-14,0,15],\"operation\":\"validity\",\"pairs\":[[-5,107],[-4,15],[-3,-14]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-5, -4, -3}, B={-14, 0, 15}, ordered pairs=[(-5, 107), (-4, 15), (-3, -14)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0009","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"8bfda9bc30795b5aaa1e4d57d6061aa91e137132e547a86c1a9ded26e3673dcc","family_id":"qf-function-table-validity","seed":202609303309,"semantic_template":"qf-function-table-validity/{\"A\":[-4,-3,-2,-1],\"B\":[-16,0,17],\"operation\":\"validity\",\"pairs\":[[-4,-16],[-4,17],[-3,-16],[-2,0],[-1,17]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-4, -3, -2, -1}, B={-16, 0, 17}, ordered pairs=[(-4, 17), (-3, -16), (-2, 0), (-1, 17), (-4, -16)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0010","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"728626ca4fd808cfd50f23608e697cfd7f21a8c928546b3404bd14db292bb650","family_id":"qf-function-table-validity","seed":202609303310,"semantic_template":"qf-function-table-validity/{\"A\":[-3,-2],\"B\":[-18,0,19],\"operation\":\"validity\",\"pairs\":[[-3,-18],[-2,0],[-1,-18]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-3, -2}, B={-18, 0, 19}, ordered pairs=[(-3, -18), (-2, 0), (-1, -18)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0011","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"f0df33c9c332ab14da19475e0816d610d6b112c69690b5b1f962650fc247c095","family_id":"qf-function-table-validity","seed":202609303311,"semantic_template":"qf-function-table-validity/{\"A\":[-2,-1,0],\"B\":[-20,0,21],\"operation\":\"validity\",\"pairs\":[[-2,0],[-1,21],[0,-20]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-2, -1, 0}, B={-20, 0, 21}, ordered pairs=[(-2, 0), (-1, 21), (0, -20)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"Yes","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is Yes; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0012","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a1bb447ee7631c402d83b1c38a568d2b8c3be9d3e8d471bdc251f137ddaa401b","family_id":"qf-function-table-validity","seed":202609303312,"semantic_template":"qf-function-table-validity/{\"A\":[-1,0,1,2],\"B\":[-22,0,23],\"operation\":\"validity\",\"pairs\":[[0,-22],[1,0],[2,23]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={-1, 0, 1, 2}, B={-22, 0, 23}, ordered pairs=[(0, -22), (1, 0), (2, 23)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0013","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"be7c666800cd3ca6655faf35893ad65c17b52b8f5e01dabf764f43ca191c9278","family_id":"qf-function-table-validity","seed":202609303313,"semantic_template":"qf-function-table-validity/{\"A\":[0,1],\"B\":[-24,0,25],\"operation\":\"validity\",\"pairs\":[[0,112],[1,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={0, 1}, B={-24, 0, 25}, ordered pairs=[(0, 112), (1, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0014","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"06c7942d8ec16e098ae94c05cdfdfada547478cac49efd9bb6835b96df63a1b1","family_id":"qf-function-table-validity","seed":202609303314,"semantic_template":"qf-function-table-validity/{\"A\":[1,2,3],\"B\":[-26,0,27],\"operation\":\"validity\",\"pairs\":[[1,0],[1,27],[2,27],[3,-26]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={1, 2, 3}, B={-26, 0, 27}, ordered pairs=[(1, 0), (2, 27), (3, -26), (1, 27)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0015","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"a49b6356ceb5e8bca424ecd361ee515a086f0150c78c0061593e2155877fa5ea","family_id":"qf-function-table-validity","seed":202609303315,"semantic_template":"qf-function-table-validity/{\"A\":[2,3,4,5],\"B\":[-28,0,29],\"operation\":\"validity\",\"pairs\":[[2,29],[3,-28],[4,0],[5,29],[6,-28]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={2, 3, 4, 5}, B={-28, 0, 29}, ordered pairs=[(2, 29), (3, -28), (4, 0), (5, 29), (6, -28)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0016","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b2eabab612850cdd72b1fc2a100ea496b0b5183140f40a0aae77cc367c5bf9bc","family_id":"qf-function-table-validity","seed":202609303316,"semantic_template":"qf-function-table-validity/{\"A\":[3,4],\"B\":[-30,0,31],\"operation\":\"validity\",\"pairs\":[[3,-30],[4,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={3, 4}, B={-30, 0, 31}, ordered pairs=[(3, -30), (4, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"Yes","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is Yes; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0017","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b7eaccc492232b515c3e7d33799364c3b0328d5c7113cb5b0f8d30a3cc3b2f91","family_id":"qf-function-table-validity","seed":202609303317,"semantic_template":"qf-function-table-validity/{\"A\":[4,5,6],\"B\":[-32,0,33],\"operation\":\"validity\",\"pairs\":[[5,33],[6,-32]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={4, 5, 6}, B={-32, 0, 33}, ordered pairs=[(5, 33), (6, -32)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0018","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"bcb056bdeb9d25832afb8a4ed6317a6d8acfccec57da8e06191f283d1425c6f3","family_id":"qf-function-table-validity","seed":202609303318,"semantic_template":"qf-function-table-validity/{\"A\":[5,6,7,8],\"B\":[-34,0,35],\"operation\":\"validity\",\"pairs\":[[5,117],[6,-34],[7,0],[8,35]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={5, 6, 7, 8}, B={-34, 0, 35}, ordered pairs=[(5, 117), (6, -34), (7, 0), (8, 35)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0019","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"76494c26b5daf428b60fdb9e7c85f5ef17204751d78f30916e8bd35e6492442c","family_id":"qf-function-table-validity","seed":202609303319,"semantic_template":"qf-function-table-validity/{\"A\":[6,7],\"B\":[-36,0,37],\"operation\":\"validity\",\"pairs\":[[6,-36],[6,0],[7,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={6, 7}, B={-36, 0, 37}, ordered pairs=[(6, -36), (7, 0), (6, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0020","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"0f5911cc2a0fdef2b435299241e92747c90a887ff33a55f6615c7f140b02f761","family_id":"qf-function-table-validity","seed":202609303320,"semantic_template":"qf-function-table-validity/{\"A\":[7,8,9],\"B\":[-38,0,39],\"operation\":\"validity\",\"pairs\":[[7,0],[8,39],[9,-38],[10,-38]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={7, 8, 9}, B={-38, 0, 39}, ordered pairs=[(7, 0), (8, 39), (9, -38), (10, -38)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0021","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"87c78b9755631e27174ea8b04b8f39d86603887e505403a28c8e507271f59ddb","family_id":"qf-function-table-validity","seed":202609303321,"semantic_template":"qf-function-table-validity/{\"A\":[8,9,10,11],\"B\":[-40,0,41],\"operation\":\"validity\",\"pairs\":[[8,41],[9,-40],[10,0],[11,41]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={8, 9, 10, 11}, B={-40, 0, 41}, ordered pairs=[(8, 41), (9, -40), (10, 0), (11, 41)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"Yes","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is Yes; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0022","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"b780045872854048e534921b875c8d688efa4642b1ffe52ffc8249692131e9b7","family_id":"qf-function-table-validity","seed":202609303322,"semantic_template":"qf-function-table-validity/{\"A\":[9,10],\"B\":[-42,0,43],\"operation\":\"validity\",\"pairs\":[[10,0]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={9, 10}, B={-42, 0, 43}, ordered pairs=[(10, 0)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0023","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"33438d049d156dce1d03518d05e42b8b7906ffe8a5f4d52d510915d22319bd24","family_id":"qf-function-table-validity","seed":202609303323,"semantic_template":"qf-function-table-validity/{\"A\":[10,11,12],\"B\":[-44,0,45],\"operation\":\"validity\",\"pairs\":[[10,122],[11,45],[12,-44]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={10, 11, 12}, B={-44, 0, 45}, ordered pairs=[(10, 122), (11, 45), (12, -44)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0024","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"9184a97b53ef832934c6e634bb261e4da97f7ad1385703b158e60d7b844b3804","family_id":"qf-function-table-validity","seed":202609303324,"semantic_template":"qf-function-table-validity/{\"A\":[11,12,13,14],\"B\":[-46,0,47],\"operation\":\"validity\",\"pairs\":[[11,-46],[11,47],[12,-46],[13,0],[14,47]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={11, 12, 13, 14}, B={-46, 0, 47}, ordered pairs=[(11, 47), (12, -46), (13, 0), (14, 47), (11, -46)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}
{"schema_version":"ocme-question-localization-v0.1","question_id":"q-20260930-r03-function-table-validity-0025","batch_id":"batch-20260930-r03-domain-codomain-range-foundations","locale":"en","translation_state":"ai_candidate","source":{"question_sha256":"7b3e2a3a7164c9cade16bd3d655052b4d12b8aeee8c51ac39ef94e50f6e1a1d4","family_id":"qf-function-table-validity","seed":202609303325,"semantic_template":"qf-function-table-validity/{\"A\":[12,13],\"B\":[-48,0,49],\"operation\":\"validity\",\"pairs\":[[12,-48],[13,0],[14,-48]]}"},"fields":{"title":"Validity of a Finite Total-Function Table","stem":"For the explicit data A={12, 13}, B={-48, 0, 49}, ordered pairs=[(12, -48), (13, 0), (14, -48)], does the table define a complete total function f:A→B? Answer Yes or No.","answer":{"kind":"short_text","value":"No","explanation":"Check that every input in A has exactly one output in B and that no row uses an extra input. The result is No; the same rule covers an empty domain."},"skills":["total-function conditions","set boundaries"],"verification_warning":"This is a candidate exercise. Mechanical recomputation checks only the stated conditions and this instance; it is neither a formal proof nor human review."}}