Question

Which of the following could not be true for a function?

A) Domain is {2}, Range is {2}
B) Domain is {2, 3}, Range is {2}
C) Domain is {2}, Range is {2, 3}
D) Domain is {2, 3}, Range is {2, 3}

Answer 1

Alternative C is not true for a function.

Explanation:

This is because a single x-value (domain) can not be mapped onto two unique y-values (range) since this violates the definition of a function defined by a relation

Answer 2

C) Domain is {2}, Range is {2, 3}

Explanation:

For one value of x there are two values of y, which contradicts the definition of a function.

Definition of a function:

A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

All the other options follow this definition except C