Question

Is the relation a function? Why or why not?

{(–8, –4), (–2, 0), (1, 3), (–2, 6)}

No; the relation passes the vertical line test.

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

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

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

Answer 1

Hello!

In a function each input has ONE output. -2 has two range values, so No; two range values exist for domain value -2.

I hope this helps!

Answer 2

Option C.

Explanation:

The given relation is

`\{(-8, -4), (-2, 0), (1, 3), (-2, 6)\}`

We need to check whether the above relation is a function or not.

A relation is a function if there exist a unique value of y for each value of x.

From the given relation it is clear that

y = 0 at x = -2

y = 6 at x = -2

Two range values exist for domain value –2. So, the given relation is not a function.

Therefore, the correct option is C.