### Home > CC3 > Chapter 9 > Lesson 9.2.3 > Problem 9-92

9-92.

Identify which of the relationships shown below is not a function. Explain your reasoning. Homework Help ✎

*x*3

8

1

9

–1

0

*y*12

4

0

4

–3

–8

*x*5

2

–1

0

–15

2

*y*2

0

–11

8

–25

1

A relationship is a function only if there is no more than one *y*-value for each *x*-value. Check the *x*-values in both tables to see to find any that appear multiple times. When you find a value for *x* that appears multiple times, check the corresponding *y*-values. If the *y*-values are different, then the relationship is not a function.

Relationship (b) is not a function. When *x* equals 2, *y* can equal 0 or 1.