Question

1. does the relation represent a function?

a. yes
b. no

Explanation:

Step1: Recall the vertical line test

A relation is a function if every vertical line intersects the graph at most once.

Step2: Apply the vertical line test

Looking at the given graph (an S - shaped curve), if we draw a vertical line, it will intersect the graph at more than one point. This means that there exists at least one \(x\) - value that is paired with more than one \(y\) - value.

Answer:

B. No