Question

I need help please. I think its C but i want to be sure!

Is this relation a function? Justify your answer.

A. No, because two points with the same x-value have different y-values.

B. Yes, because every x- and y-value is positive.

C. Yes, because the number of x-values is the same as the number of y-values.

D. No, because two points with the same y-value have different x-values.

Answer 1

A. No, because two points with the same x-value have different y-values.

Explanation:

You want to know if the graph represents a function.

Function

A function is a relation that maps any input value to exactly one output value. On a graph, any vertical line will intercept a function graph in exactly one place.

Application

On the given graph, the vertical line x=10 intersects the graph in two places (y=6 and y=9, different y-values). The graphed relation is not a function.