Question

Is the correspondence described below a function? Explain your reasoning.

????:{women} → {people}
Assign each woman her child.

Answer 1

No

Explanation:

A function is a correspondence between two sets X and Y in which each element of X is matched to one and only one element of Y.

In this question consider the set X: women and the set Y: people.

The function between these two sets asks us to assign each woman HER child.

For this to be a function, every woman should be matched to one and only one child. However, not all women have only one child and some of them have no children or have more than one child.

Thus, this is not a function.