Question

Is the relation a function? Why or why not?

{(–5, 7), (–2, –1), (0, 3), (4, 7)} 

A. No; two domain values exist for range value 7.

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

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

D. Yes; two domain values exist for range value 7.

Answer 1

Since you can only have 1 output for the inputs, the correct answer would be B- only one range value exists for each domain value.

Answer 2

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

Explanation:

A relation is considered a function only if for each domain value (the values that x-variable takes) only one range value exists (the values that y-variable takes). In this case, the values taken by the x-variable are: -5, -2, 0 and 4; all in different points.

It doesn't matter that two domain values (or more) have the same range value.