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 - Section 4.2 One-to-One Functions; Inverse Functions - 4.2 Assess Your Understanding - Page 291: 13


The function is not a one-to-one function.

Work Step by Step

In order for the function to be one-to-one: For each value of $x$, there must be a unique $y$ value paired with it and every element of the domain (D) must be paired with a unique element of the range (R). We can see that for the value of $y=200$, there are two values of $x$; that is, $20$ and $25$ Therefore, the function is not a one-to-one function.
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