Answer:
<h2>D.</h2><h2>{(-9,8), (-5,-8), (-7,8), (-6,-8)}</h2>
Step-by-step explanation:
A function is defined as the relation between two sets with an specific characteristic:
- If each x-value has only one y-value assigned, then the expression it's a function.
- If each x-value has more than one y-value image, then the expression it's not a function, it's just a relation.
So, in this problem, we have to look for this characteristic. Option A has two points with the same x-value and different y-value assigned, so it's not a function. Option B has two y-values assigned for x=8, so it's not a function either. Option C is not a function because x=13 has to different images y=-3 and y=0.
At last, option D represent a function, because each x-value has only one image: {(-9,8), (-5,-8), (-7,8), (-6,-8)}
It's important to notice that, one y-value can have different x-values assigned, that's a function, but it cannot happen in the opposite way, one x-value with more than one y-value assigned.
Therefore, the right answer is D.
