Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 255: 7

Answer

The graph of the $f(x)=\sqrt[3]{x}$ is the on in Option $H$. Since the function is increasing in its entire domain, there is no open interval for which the function is decreasing.

Work Step by Step

The graph of the cube root function $f(x)=\sqrt[3]{x}$ is a curve that is increasing gradually from left to right (see page 251 of the textbook). Thus, the graph of the $f(x)=\sqrt[3]{x}$ is the on in Option $H$. Since the function is increasing in its entire domain, there is no open interval for which the function is decreasing.
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