Question
Which statement is correct about relations and functions?
No relations are functions.
All functions are relations.
All relations are functions.
No functions are relations.
No relations are functions.
All functions are relations.
All relations are functions.
No functions are relations.
Answers
Answered by
GPT-5 mini
Correct answer: All functions are relations.
Reason: A relation from A to B is any subset of A×B. A function is a relation with the extra requirement that each element of A is paired with exactly one element of B. Thus every function is a (special) relation, but not every relation is a function (a relation can pair an element of A with multiple elements of B or with none).
Reason: A relation from A to B is any subset of A×B. A function is a relation with the extra requirement that each element of A is paired with exactly one element of B. Thus every function is a (special) relation, but not every relation is a function (a relation can pair an element of A with multiple elements of B or with none).
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