Question

State whether the following rule defines y as a function of x or not. x = y² +9 Is y a function of x ? A. Yes, because each x-value of the given rule corresponds to exactly one y-value. B. No, because at least one y-value of the given rule corresponds to more than one x-value. C. Yes, because each y-value of the given rule corresponds to exactly one x-value. D. No, because at least one x-value of the given rule corresponds to more than one y-value. Get more help from Che

Answer 1

Answer: Choice D.

No, because at least one x-value of the given rule corresponds to more than one y-value.

Explanation:

For example, if x = 0, then it leads to y = 3 or y = -3.

The two points (0,3) and (0,-3) will then have this curve fail the vertical line test. Therefore, this is not a function.