Question 32222: Reading the Codomain of a Function

Original question and givens

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.

• G001 — 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.

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-domain-codomain-range

Step-by-step derivation

source roles = [qf-function-codomain-set, codomain, no-required-domain, []]

derived = [[declared_codomain_set_STRING]]

source roles = [A declared domain, pulse-function, [9, 10]]

derived = [[9, 10]]

source roles = [B declared codomain, pulse-function, [-42, 0, 43]]

derived = [[-42, 0, 43]]

source roles = [pulse-function, [[9, -42], [10, 0]]]

derived = [[[9, -42], [10, 0]]]

source roles = [pulse-function, 0, 9, -42, [9, 10], [-42, 0, 43]]

derived = [Yes, Yes, Yes]

source roles = [pulse-function, 1, 10, 0, [9, 10], [-42, 0, 43]]

derived = [Yes, Yes, Yes]

source roles = [pulse-function, 9, [[9, -42], [10, 0]]]

derived = [1, Yes]

source roles = [pulse-function, 10, [[9, -42], [10, 0]]]

derived = [1, Yes]

source roles = [pulse-function, [9, 10], [-42, 0, 43], [[9, -42], [10, 0]], Yes]

derived = [[Yes, Yes], [1, 1], Yes]

source roles = [codomain, [9, 10], [-42, 0, 43], [[9, -42], [10, 0]]]

derived = [[-42, 0, 43], {-42, 0, 43}, [43]]

Reverse checks

• S010 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S009 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S008 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S007 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S006 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S005 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S004 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S003 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S002 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
• S001 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.

Result

{-42, 0, 43}

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.