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}

Question

Mathematics

Guest

28 October, 15:52

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}

+2

Answers (2)

Know the Answer?

Desiree Lloyd · Answer 1

Alternative C is not true for a function.

Step-by-step 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

Dean Buckley · Answer 2

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

Step-by-step 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

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}

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}