Question

17.

Is the relation a function? Why or why not?
{(–8, –4), (–2, 0), (1, 3), (–2, 6)}

A. Yes; only one range value exists for each domain value.

B. No; the relation passes the vertical line test.

C. No; two range values exist for domain value –2.

D. Yes; two range values exist for domain value –2.

Answer 1

C. No; two range values exist for domain value –2.

Explanation:

The relation is not a function.

The -2 in the domain repeats

Since

x

=

−

2

produces

y

=

0

and

y

=

6

, the relation

(

−

8

,

−

4

)

,

(

−

2

,

0

)

,

(

1

,

3

)

,

(

−

2

,

6

)

is not a function.

The relation is not a function.