Explanation Use horizontal line test to determine whether the function f ( x ) = x 4 − 16 is one-to-one. Horizontal line test states that the graph of the function is one-to-one function if and only if a horizontal line intersects the graph exactly once. Sketch the graph of the function f ( x ) = x 4 − 16 and perform the horizontal line test as shown below in Figure 1

Single Variable Calculus: Early Transcendentals

8th Edition

ISBN: 9781305270336

Author: James Stewart

Publisher: Cengage Learning

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Question

Chapter 1.5, Problem 10E

To determine

Whether the function f(x)=x4−16 is one-to-one.

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Chapter 1 Solutions

Single Variable Calculus: Early Transcendentals

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Whether the function f ( x ) = x 4 − 16 is one-to-one.

Solution Summary: The author explains how to determine whether the function f(x) is one-to-one, using horizontal line test.

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Whether the function f(x)=x4−16 is one-to-one.

Chapter 1 Solutions