Question

Examine this table that displays a relation.

Input (x)
Output (y)

−3
2

−1
−3

1
4

3
−3

5
1


Is the relation a function?

Choose the answer that is entirely correct.

Responses

This relation is a function because all of the outputs have exactly one input.
This relation is a function because all of the outputs have exactly one input. - no response given

This relation is not a function because an input has two different outputs.
This relation is not a function because an input has two different outputs. - no response given

This relation is a function because each input has exactly one output.
This relation is a function because each input has exactly one output. - no response given

This relation is not a function because two different outputs are the same, −3.

Answer 1

This relation is a function because all of the outputs have exactly one input

Checking if the relation is a function

From the question, we have the following parameters that can be used in our computation:

Input (x) Output (y)

−3 2

−1 −3

1 4

3 −3

5 1

A function is a relation where for any given input (x), there must be only one corresponding output (y).

Looking at the table, we can see that all inputs have exactly one output,

This means that the relation is considered a function.