Question

use the vertical line test to determine if y is a function of x in the graph. which of the following statements is correct? y is not a function of x; y is a function of x

Explanation:

Step1: Recall Vertical Line Test

The vertical line test states that a graph represents a function if no vertical line intersects the graph at more than one point.

Step2: Apply Test to the Graph

Looking at the given graph (an ellipse - like shape), if we draw a vertical line (e.g., the y - axis or any vertical line through the ellipse), it will intersect the graph at two points. This violates the vertical line test for a function.

Answer:

y is not a function of x