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 rule

A graph represents a function if any vertical line drawn intersects the graph at most once.

Step2: Apply test to the ellipse

Draw a vertical line (e.g., $x = a$ where $a$ is between the left and right intercepts of the ellipse). This line will intersect the ellipse at two distinct points, meaning one $x$-value maps to two $y$-values.

Answer:

y is not a function of x