Question

which graph represents y as a function of x?
5.

Explanation:

Step1: Recall the vertical line test

A graph represents \( y \) as a function of \( x \) if no vertical line intersects the graph more than once.

Step2: Analyze Graph F

For graph F, if we draw a vertical line (e.g., along the y - axis or any vertical line), it will intersect the graph at two points. So, F is not a function.

Step3: Analyze Graph H

For graph H, a vertical line will intersect the graph at more than one point (it has a "wavy" or "curved" shape that fails the vertical line test). So, H is not a function.

Step4: Analyze Graph G

For graph G, a vertical line will intersect the graph at two points. So, G is not a function.

Step5: Analyze Graph J

For graph J, any vertical line drawn will intersect the graph at most once. So, J passes the vertical line test.

Answer:

J. The graph labeled J