Which of the following is not true? A. Every relation from the set A to the set B is a function from the set A to the set B. B. If f is a function from A to B and (a, b) Є f, then f(a) = b, where a is called the pre-image of b under f. C. Every function from the set A to the set B is a relation from the set A to the set B D. If f is a function from A to B and (a, b) Є f, then f(a) = b, where b is called the image of a under f.

Jaden Bird

Jaden Bird

Answered question

2022-11-30

Which of the following is not true?
A. Every relation from the set A to the set B is a function from the set A to the set B.
B. If f is a function from A to B and (a, b) Є f, then f(a) = b, where a is called the pre-image of b under f.
C. Every function from the set A to the set B is a relation from the set A to the set B
D. If f is a function from A to B and (a, b) Є f, then f(a) = b, where b is called the image of a under f.

Answer & Explanation

Jayda King

Jayda King

Beginner2022-12-01Added 8 answers

Every relation between sets A and B is a function between sets A and B.

A relation between sets A and B is a function if:
(a) Each element of A is the first element of some ordered pair in the relation.
(b) No element of A is the first element of any two distinct ordered pairs in the relation.

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