use the vertical line test to determine whether the curve is the graph of a function of x. (a) is a function…

Explanation:

Step1: Recall vertical - line test

The vertical - line test states that if any vertical line intersects a curve at more than one point, then the curve is not the graph of a function of (x).

Step2: Apply to part (a)

For the curve in part (a), a vertical line can be drawn that intersects the curve at more than one point. So, it is not a function.

Step3: Apply to part (b)

For the curve in part (b), any vertical line drawn will intersect the curve at most once. So, it is a function.

Answer:

(a) is not a function (b) is a function