# Domain, Codomain, and Range Foundations

This batch has passed Schema, deduplication, source-snapshot, and independent-answer recomputation checks; it is still not marked as human-reviewed.

This question bank has corresponding bilingual step-by-step derivations. Source candidate and English ai_candidate states are retained. AI review, finite computation and Lean formal proof are labelled separately.

batch-20260930-r03-domain-codomain-range-foundations · 2026-09-30 · 100 questions

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.



## 1. Reading the Domain of a Function

Given the explicit declaration A=∅, B={-2, 0, 3}, ordered pairs=[] and a total function f:A→B, list the domain in increasing order.

View answer and explanation∅

The domain is the explicitly declared input set A=∅; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0001/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 2. Reading the Domain of a Function

Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the domain in increasing order.

View answer and explanation∅

The domain is the explicitly declared input set A=∅; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0002/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 3. Reading the Domain of a Function

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.

View answer and explanation{-10, -9, -8, -7}

The domain is the explicitly declared input set A={-10, -9, -8, -7}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0003/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 4. Reading the Domain of a Function

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.

View answer and explanation{-9, -8}

The domain is the explicitly declared input set A={-9, -8}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0004/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 5. Reading the Domain of a Function

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.

View answer and explanation{-8, -7, -6}

The domain is the explicitly declared input set A={-8, -7, -6}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0005/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 6. Reading the Domain of a Function

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.

View answer and explanation{-7, -6, -5, -4}

The domain is the explicitly declared input set A={-7, -6, -5, -4}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0006/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 7. Reading the Domain of a Function

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.

View answer and explanation{-6, -5}

The domain is the explicitly declared input set A={-6, -5}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0007/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 8. Reading the Domain of a Function

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.

View answer and explanation{-5, -4, -3}

The domain is the explicitly declared input set A={-5, -4, -3}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0008/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 9. Reading the Domain of a Function

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.

View answer and explanation{-4, -3, -2, -1}

The domain is the explicitly declared input set A={-4, -3, -2, -1}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0009/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 10. Reading the Domain of a Function

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.

View answer and explanation{-3, -2}

The domain is the explicitly declared input set A={-3, -2}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0010/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 11. Reading the Domain of a Function

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.

View answer and explanation{-2, -1, 0}

The domain is the explicitly declared input set A={-2, -1, 0}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0011/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 12. Reading the Domain of a Function

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.

View answer and explanation{-1, 0, 1, 2}

The domain is the explicitly declared input set A={-1, 0, 1, 2}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0012/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 13. Reading the Domain of a Function

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.

View answer and explanation{0, 1}

The domain is the explicitly declared input set A={0, 1}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0013/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 14. Reading the Domain of a Function

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.

View answer and explanation{1, 2, 3}

The domain is the explicitly declared input set A={1, 2, 3}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0014/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 15. Reading the Domain of a Function

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.

View answer and explanation{2, 3, 4, 5}

The domain is the explicitly declared input set A={2, 3, 4, 5}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0015/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 16. Reading the Domain of a Function

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.

View answer and explanation{3, 4}

The domain is the explicitly declared input set A={3, 4}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0016/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 17. Reading the Domain of a Function

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.

View answer and explanation{4, 5, 6}

The domain is the explicitly declared input set A={4, 5, 6}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0017/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 18. Reading the Domain of a Function

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.

View answer and explanation{5, 6, 7, 8}

The domain is the explicitly declared input set A={5, 6, 7, 8}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0018/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 19. Reading the Domain of a Function

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.

View answer and explanation{6, 7}

The domain is the explicitly declared input set A={6, 7}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0019/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 20. Reading the Domain of a Function

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.

View answer and explanation{7, 8, 9}

The domain is the explicitly declared input set A={7, 8, 9}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0020/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 21. Reading the Domain of a Function

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.

View answer and explanation{8, 9, 10, 11}

The domain is the explicitly declared input set A={8, 9, 10, 11}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0021/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 22. Reading the Domain of a Function

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.

View answer and explanation{9, 10}

The domain is the explicitly declared input set A={9, 10}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0022/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 23. Reading the Domain of a Function

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.

View answer and explanation{10, 11, 12}

The domain is the explicitly declared input set A={10, 11, 12}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0023/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 24. Reading the Domain of a Function

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.

View answer and explanation{11, 12, 13, 14}

The domain is the explicitly declared input set A={11, 12, 13, 14}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0024/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 25. Reading the Domain of a Function

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.

View answer and explanation{12, 13}

The domain is the explicitly declared input set A={12, 13}; it is not inferred from the outputs.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-domain-set-0025/)

Domain, codomain, and range · qf-function-domain-set · candidate





## 26. Reading the Codomain of a Function

Given the explicit declaration A=∅, B={-2, 0, 3}, ordered pairs=[] and a total function f:A→B, list the codomain in increasing order.

View answer and explanation{-2, 0, 3}

The codomain is the explicitly declared output set B={-2, 0, 3}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0001/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 27. Reading the Codomain of a Function

Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the codomain in increasing order.

View answer and explanation∅

The codomain is the explicitly declared output set B=∅; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0002/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 28. Reading the Codomain of a Function

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.

View answer and explanation{-4, 0, 5}

The codomain is the explicitly declared output set B={-4, 0, 5}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0003/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 29. Reading the Codomain of a Function

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.

View answer and explanation{-6, 0, 7}

The codomain is the explicitly declared output set B={-6, 0, 7}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0004/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 30. Reading the Codomain of a Function

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.

View answer and explanation{-8, 0, 9}

The codomain is the explicitly declared output set B={-8, 0, 9}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0005/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 31. Reading the Codomain of a Function

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.

View answer and explanation{-10, 0, 11}

The codomain is the explicitly declared output set B={-10, 0, 11}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0006/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 32. Reading the Codomain of a Function

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.

View answer and explanation{-12, 0, 13}

The codomain is the explicitly declared output set B={-12, 0, 13}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0007/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 33. Reading the Codomain of a Function

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.

View answer and explanation{-14, 0, 15}

The codomain is the explicitly declared output set B={-14, 0, 15}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0008/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 34. Reading the Codomain of a Function

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.

View answer and explanation{-16, 0, 17}

The codomain is the explicitly declared output set B={-16, 0, 17}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0009/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 35. Reading the Codomain of a Function

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.

View answer and explanation{-18, 0, 19}

The codomain is the explicitly declared output set B={-18, 0, 19}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0010/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 36. Reading the Codomain of a Function

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.

View answer and explanation{-20, 0, 21}

The codomain is the explicitly declared output set B={-20, 0, 21}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0011/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 37. Reading the Codomain of a Function

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.

View answer and explanation{-22, 0, 23}

The codomain is the explicitly declared output set B={-22, 0, 23}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0012/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 38. Reading the Codomain of a Function

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.

View answer and explanation{-24, 0, 25}

The codomain is the explicitly declared output set B={-24, 0, 25}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0013/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 39. Reading the Codomain of a Function

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.

View answer and explanation{-26, 0, 27}

The codomain is the explicitly declared output set B={-26, 0, 27}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0014/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 40. Reading the Codomain of a Function

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.

View answer and explanation{-28, 0, 29}

The codomain is the explicitly declared output set B={-28, 0, 29}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0015/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 41. Reading the Codomain of a Function

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.

View answer and explanation{-30, 0, 31}

The codomain is the explicitly declared output set B={-30, 0, 31}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0016/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 42. Reading the Codomain of a Function

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.

View answer and explanation{-32, 0, 33}

The codomain is the explicitly declared output set B={-32, 0, 33}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0017/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 43. Reading the Codomain of a Function

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.

View answer and explanation{-34, 0, 35}

The codomain is the explicitly declared output set B={-34, 0, 35}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0018/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 44. Reading the Codomain of a Function

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.

View answer and explanation{-36, 0, 37}

The codomain is the explicitly declared output set B={-36, 0, 37}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0019/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 45. Reading the Codomain of a Function

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.

View answer and explanation{-38, 0, 39}

The codomain is the explicitly declared output set B={-38, 0, 39}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0020/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 46. Reading the Codomain of a Function

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.

View answer and explanation{-40, 0, 41}

The codomain is the explicitly declared output set B={-40, 0, 41}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0021/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 47. Reading the Codomain of a Function

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.

View answer and explanation{-42, 0, 43}

The codomain is the explicitly declared output set B={-42, 0, 43}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0022/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 48. Reading the Codomain of a Function

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.

View answer and explanation{-44, 0, 45}

The codomain is the explicitly declared output set B={-44, 0, 45}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0023/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 49. Reading the Codomain of a Function

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.

View answer and explanation{-46, 0, 47}

The codomain is the explicitly declared output set B={-46, 0, 47}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0024/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 50. Reading the Codomain of a Function

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.

View answer and explanation{-48, 0, 49}

The codomain is the explicitly declared output set B={-48, 0, 49}; it is not guessed from the table.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-codomain-set-0025/)

Domain, codomain, and range · qf-function-codomain-set · candidate





## 51. Reading the Range of a Function

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.

View answer and explanation∅

Collect the outputs that actually occur and remove duplicates. The range is ∅; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0001/)

Domain, codomain, and range · qf-function-range-set · candidate





## 52. Reading the Range of a Function

Given the explicit declaration A=∅, B=∅, ordered pairs=[] and a total function f:A→B, list the attained range in increasing order.

View answer and explanation∅

Collect the outputs that actually occur and remove duplicates. The range is ∅; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0002/)

Domain, codomain, and range · qf-function-range-set · candidate





## 53. Reading the Range of a Function

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.

View answer and explanation{-4, 0, 5}

Collect the outputs that actually occur and remove duplicates. The range is {-4, 0, 5}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0003/)

Domain, codomain, and range · qf-function-range-set · candidate





## 54. Reading the Range of a Function

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.

View answer and explanation{-6, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-6, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0004/)

Domain, codomain, and range · qf-function-range-set · candidate





## 55. Reading the Range of a Function

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.

View answer and explanation{-8, 0, 9}

Collect the outputs that actually occur and remove duplicates. The range is {-8, 0, 9}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0005/)

Domain, codomain, and range · qf-function-range-set · candidate





## 56. Reading the Range of a Function

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.

View answer and explanation{-10, 0, 11}

Collect the outputs that actually occur and remove duplicates. The range is {-10, 0, 11}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0006/)

Domain, codomain, and range · qf-function-range-set · candidate





## 57. Reading the Range of a Function

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.

View answer and explanation{-12, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-12, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0007/)

Domain, codomain, and range · qf-function-range-set · candidate





## 58. Reading the Range of a Function

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.

View answer and explanation{-14, 0, 15}

Collect the outputs that actually occur and remove duplicates. The range is {-14, 0, 15}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0008/)

Domain, codomain, and range · qf-function-range-set · candidate





## 59. Reading the Range of a Function

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.

View answer and explanation{-16, 0, 17}

Collect the outputs that actually occur and remove duplicates. The range is {-16, 0, 17}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0009/)

Domain, codomain, and range · qf-function-range-set · candidate





## 60. Reading the Range of a Function

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.

View answer and explanation{-18, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-18, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0010/)

Domain, codomain, and range · qf-function-range-set · candidate





## 61. Reading the Range of a Function

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.

View answer and explanation{-20, 0, 21}

Collect the outputs that actually occur and remove duplicates. The range is {-20, 0, 21}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0011/)

Domain, codomain, and range · qf-function-range-set · candidate





## 62. Reading the Range of a Function

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.

View answer and explanation{-22, 0, 23}

Collect the outputs that actually occur and remove duplicates. The range is {-22, 0, 23}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0012/)

Domain, codomain, and range · qf-function-range-set · candidate





## 63. Reading the Range of a Function

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.

View answer and explanation{-24, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-24, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0013/)

Domain, codomain, and range · qf-function-range-set · candidate





## 64. Reading the Range of a Function

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.

View answer and explanation{-26, 0, 27}

Collect the outputs that actually occur and remove duplicates. The range is {-26, 0, 27}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0014/)

Domain, codomain, and range · qf-function-range-set · candidate





## 65. Reading the Range of a Function

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.

View answer and explanation{-28, 0, 29}

Collect the outputs that actually occur and remove duplicates. The range is {-28, 0, 29}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0015/)

Domain, codomain, and range · qf-function-range-set · candidate





## 66. Reading the Range of a Function

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.

View answer and explanation{-30, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-30, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0016/)

Domain, codomain, and range · qf-function-range-set · candidate





## 67. Reading the Range of a Function

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.

View answer and explanation{-32, 0, 33}

Collect the outputs that actually occur and remove duplicates. The range is {-32, 0, 33}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0017/)

Domain, codomain, and range · qf-function-range-set · candidate





## 68. Reading the Range of a Function

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.

View answer and explanation{-34, 0, 35}

Collect the outputs that actually occur and remove duplicates. The range is {-34, 0, 35}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0018/)

Domain, codomain, and range · qf-function-range-set · candidate





## 69. Reading the Range of a Function

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.

View answer and explanation{-36, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-36, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0019/)

Domain, codomain, and range · qf-function-range-set · candidate





## 70. Reading the Range of a Function

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.

View answer and explanation{-38, 0, 39}

Collect the outputs that actually occur and remove duplicates. The range is {-38, 0, 39}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0020/)

Domain, codomain, and range · qf-function-range-set · candidate





## 71. Reading the Range of a Function

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.

View answer and explanation{-40, 0, 41}

Collect the outputs that actually occur and remove duplicates. The range is {-40, 0, 41}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0021/)

Domain, codomain, and range · qf-function-range-set · candidate





## 72. Reading the Range of a Function

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.

View answer and explanation{-42, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-42, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0022/)

Domain, codomain, and range · qf-function-range-set · candidate





## 73. Reading the Range of a Function

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.

View answer and explanation{-44, 0, 45}

Collect the outputs that actually occur and remove duplicates. The range is {-44, 0, 45}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0023/)

Domain, codomain, and range · qf-function-range-set · candidate





## 74. Reading the Range of a Function

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.

View answer and explanation{-46, 0, 47}

Collect the outputs that actually occur and remove duplicates. The range is {-46, 0, 47}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0024/)

Domain, codomain, and range · qf-function-range-set · candidate





## 75. Reading the Range of a Function

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.

View answer and explanation{-48, 0}

Collect the outputs that actually occur and remove duplicates. The range is {-48, 0}; unattained codomain elements are not added.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-range-set-0025/)

Domain, codomain, and range · qf-function-range-set · candidate





## 76. Validity of a Finite Total-Function Table

For the explicit data A=∅, B=∅, ordered pairs=[], does the table define a complete total function f:A→B? Answer Yes or No.

View answer and explanationYes

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0001/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 77. Validity of a Finite Total-Function Table

For the explicit data A={0}, B=∅, ordered pairs=[], does the table define a complete total function f:A→B? Answer Yes or No.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0002/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 78. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0003/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 79. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0004/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 80. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0005/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 81. Validity of a Finite Total-Function Table

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.

View answer and explanationYes

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0006/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 82. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0007/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 83. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0008/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 84. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0009/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 85. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0010/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 86. Validity of a Finite Total-Function Table

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.

View answer and explanationYes

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0011/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 87. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0012/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 88. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0013/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 89. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0014/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 90. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0015/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 91. Validity of a Finite Total-Function Table

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.

View answer and explanationYes

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0016/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 92. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0017/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 93. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0018/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 94. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0019/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 95. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0020/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 96. Validity of a Finite Total-Function Table

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.

View answer and explanationYes

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0021/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 97. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0022/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 98. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0023/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 99. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0024/)

Domain, codomain, and range · qf-function-table-validity · candidate





## 100. Validity of a Finite Total-Function Table

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.

View answer and explanationNo

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.



[Reviewed step-by-step derivation](https://ocme.evemisslab.com/en/questions/q-20260930-r03-function-table-validity-0025/)

Domain, codomain, and range · qf-function-table-validity · candidate



[Canonical question JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20260930-r03-domain-codomain-range-foundations/questions.jsonl) · [English JSONL](https://ocme.evemisslab.com/data/i18n/questions/batch-20260930-r03-domain-codomain-range-foundations.en.jsonl) · [Validation report](https://ocme.evemisslab.com/data/questions/batches/batch-20260930-r03-domain-codomain-range-foundations/validation-report.json)