Suppose x and y represent the values of two covarying quanti

Suppose x and y represent the values of two co-varying quantities and that the following is a graph of y versus x. Is x a function of y?

A) Yes, for every y value there is one x value.

B) No, the graph does not reflect across the line y = x.

C) No, for every u value there is more than one x value

D) Yes, for every x value there is one y value

14 12 4 2 2.5 - 21.5 1 0 0.5 1.522.5 2 -4 -8

Solution

y is not a function of x because for every value of x, there are multiple values of y...
This is evident from drawing a vertical line and seeing that it intersects the curve at more than one point

But the question is \"Is x a function of y\"

Is it true that for every value of y, there is only one value of x?
Yes, this is true because any horizontal line drawn intersects the curve only once.

So, for every y, we have only one x

Therefore, yes, x is a function of y

Option A