Question

Is the following relation a function? x y −1 −2 2 3 3 1 6 −2

Answer 1

Yes. Each x value only has one y value. It would not be a function if, for example, the x value of 4 had two different y values, 3 and 7.

Answer 2

Yes, the relation is a function.

Explanation:

We have been given the table

x y

-1 -2

2 3

3 1

6 -2

We know that a relation is a function if every x value has a unique y value.

For the given relation all the x values have a single and unique y values. For example -1 has value -2, 2 has a value 3, 3 has a value 1 and 6 has a value -2.

Thus, the given relation is a function.