College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 244: 7

Answer

False

Work Step by Step

The cube root function, $f(x)=\sqrt[3]{x}$ is increasing, not decreasing, on the interval $(-\infty,\infty)$. For example, $\sqrt[3]{1}=1$, while $\sqrt[3]{27}=3$. So, as $x$ increases, $y$ increases as well.
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