Precalculus (10th Edition)

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

Chapter 5 - Exponential and Logarithmic Functions - 5.2 One-to-One Functions; Inverse Functions - 5.2 Assess Your Understanding - Page 266: 25

Answer

The function is one-to-one.

Work Step by Step

The Horizontal Line Test says that if all horizontal lines drawn intersect the graph of the function at at most one point, then the function is one-to-one. All horizontal lines will pass through the graph in at most one point so this function passes the Horizontal Line Test. Hence the function is one-to-one.
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