## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 3 - Cumulative Review: 42

#### Answer

No, the graph shown is not a graph of a function.

#### Work Step by Step

We can use the vertical line test to determine if the graph is a graph of a function. If we add a vertical line $x=0$ to the graph, it will intersect the existing graph twice. Therefore, this cannot be a graph of a function, because x-values in this relationship correspond to more than 1 y-coordinate. A function is a relation in which each first component in the ordered pairs corresponds to exactly one second component.

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