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: 26

Answer

The function is not 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. This function doesn't pass the Horizontal Line Test because the horizontal line $y=2$ passes through an infinite number of points on the graph. Hence the function is not one-to-one.
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