Precalculus (6th Edition)

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

Chapter 2 - Graphs and Functions - Quiz - Page 277: 4

Answer

See explanations.

Work Step by Step

(a) Based on the given graph, we can identify the function as $y=x^3$ or the cube function, we can find the domain as $(-\infty,\infty)$, the range as $(-\infty,\infty)$, and it is increasing over $(-\infty,\infty)$. (b) Based on the given graph, we can identify the function as $y=|x|$ or the absolute value function, we can find the domain as $(-\infty,\infty)$, the range as $[0,\infty)$, and it is decreasing over $(-\infty,0)$ and increasing over $(0,\infty)$. (c) Based on the given graph, we can identify the function as $y=\sqrt[3] x$ or the cube root function, we can find the domain as $(-\infty,\infty)$, the range as $(-\infty,\infty)$, and it is increasing over $(-\infty,\infty)$.
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