Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 196: 82


Neither even nor odd.

Work Step by Step

We are given the function: $f(x)=\sqrt[3]{x-4}$ Graph the function: The graph shows that the function is not symmetric about any axis; therefore it is neither even nor odd. Check the result algebraically: $f(-x)=\sqrt[3]{-x-4}=-\sqrt[3]{x+4}$ $f(-x)\not=-f(x)$ $f(-x)\not=f(x)$ So the function is neither even nor odd.
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