Question

does the graph represent a function?
a. yes, it is a function.
b. no, it is not a function.

Explanation:

Step1: Recall the vertical line test

To determine if a graph represents a function, we use the vertical line test: if any vertical line drawn through the graph intersects the graph at more than one point, the graph does not represent a function. If every vertical line intersects the graph at most once, it is a function.

Step2: Apply the vertical line test to the given graph

Looking at the provided graph, when we imagine drawing vertical lines at any \( x \)-value, each vertical line will intersect the graph at most one time. This satisfies the condition for a function.

Answer:

A. Yes, it is a function.