Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 85: 14

Answer

Cube function (D)

Work Step by Step

We can see from the graph that it represent the cube function, which is expressed as: $f(x)=x^3$. This is an odd function that is constantly increasing for $x \gt 1$, with increasing slope away from $0$ and it decreases rapidly for $x \lt -1$. So, the matching graph is $(D)$.
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