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: 81


Odd function

Work Step by Step

We are given the function: $f(x)=\sqrt[3]{4x}$ Graph the function: The graph shows that the function is symmetrical with respect to the origin, which means the function is odd. Check that the function is odd algebraically: $f(-x)=\sqrt[3]{-x}=-\sqrt[3]x=-f(x)$ As $f(-x)=-f(x)$, the function is odd.
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