Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Cumulative Review - Page 373: 1


The graph is a function, but it is not one-to-one.

Work Step by Step

As depicted in the graph, there is one $y$-value for every $x-value$. In other words, the graph passes the Vertical Line Test. Thus, it is a function. The Horizontal Line Test states that any horizontal line should intersect the graph at no more than one point. Otherwise, the graph is not one-to-one. The given graph fails the Horizontal Line Test because some y-values appear not-uniquely. Thus, the function is not one-to-one.
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