Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.2 The Graph of a Function - 2.2 Assess Your Understanding - Page 65: 18

Answer

not a function

Work Step by Step

The Vertical Line Test says that every vertical line drawn can only intersect the graph in at most one point for the graph to represent a function. Note that in the given graph, lines like $x=-1$ crosses the graph at two different points. Hence, the graph does not represent a function.
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