Question

Determine which relation is a function.

A.
{(–4, 3), (–2, 3), (–1, 2), (2, 5), (3, 2)}


B.
{(–4, 1), (–2, 3), (–2, 1), (–1, 5), (3, 2)}


C.
{(–4, 1), (–2, 3), (–1, 2), (3, 5), (3, 2)}


D.
{(–4, 1), (–2, 3), (–1, 1), (–1, 5), (3, 2)}

Answer 1

I think the answer is D

Answer 2

Hello!

In a function, each input must have only one output. Outputs can have multiple inputs, but each input must have one output. For example, {(4,-1), (4,-2)} is not a function, as 4 has two outputs.

In B, -2 has two outputs, 3 and 1, so it is not the answer.

In C, 3 has two outputs, 5 and 2, so it is not a function.

In D,-1 has two outputs, 1 and 5, so it will not work.

In A, each number has one output, so it is a function.

I hope this helps!