Question

determine whether the following graph represents a function.

Explanation:

Step1: Recall the vertical line test

A graph represents a function if no vertical line intersects the graph at more than one point.

Step2: Apply the vertical line test

For any vertical line \( x = a \) (where \( a \) is a real number), we check how many times it intersects the given graph. Looking at the graph, for every vertical line drawn, it will intersect the graph at most once.

Answer:

Yes, the graph represents a function (because it passes the vertical line test, meaning no vertical line intersects the graph more than once).