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10.
Is the relation a function? Why or why not?

{(–8, –4), (–2, 0), (1, 3), (–2, 6)}


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

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

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

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

Respuesta :

lalamcg115

Answer:

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

Step-by-step explanation:

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

The given relation is

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.

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