Question

determine whether the following graph represents a function.

Explanation:

Step1: Recall the vertical line test

A graph represents a function if and only if no vertical line intersects the graph more than once.

Step2: Apply the vertical line test to the given graph

Looking at the graph, if we draw any vertical line (a line parallel to the \( y \)-axis), it will intersect the graph at most once. For example, a vertical line at \( x = 1 \), \( x = 2 \), or \( x = 3 \) will intersect the graph only once.

Answer:

Yes, the graph represents a function.