Question: Use the vertical line test to determine if \( y \) is a function of \( x \) in the graph…

Use the vertical line test to determine if \( y \) is a function of \( x \) in the graph.

[Graph of a parabola opening upwards with its vertex at the origin.]

Choose the correct answer below.

• \( y \) is not a function of \( x \)
• \( y \) is a function of \( x \)

Solution

To determine if \( y \) is a function of \( x \) using the vertical line test, observe the given graph: The vertical line test states that if any vertical line intersects the graph at more than one point, then \( y \) is not a function of \( x \). In the graph shown, any vertical line will intersect the curve at only one point. Therefore, \( y \) is a function of \( x \). The correct answer is: \( y \) is a function of \( x \).