Question

use the vertical line test to determine if y is a function of x in the graph. y is a function of x y is not a function of x

Explanation:

Step1: Recall Vertical Line Test

The vertical line test states that a graph represents \( y \) as a function of \( x \) if no vertical line intersects the graph at more than one point.

Step2: Analyze the Given Graph

The graph shown is a straight line (non - vertical, since it has a slope). For any vertical line \( x = a \) (where \( a \) is a real number), this line will intersect the given graph at exactly one point. This satisfies the vertical line test.

Answer:

A. \( y \) is a function of \( x \)