Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.5 Graphing Techniques: Transformations - 2.5 Assess Your Understanding - Page 104: 42


See graph Domain: $(-\infty,\infty)$ Range: $(-\infty,\infty)$

Work Step by Step

We are given the function: $g(x)=x^3-1$ We start with the basic function $a(x)=x^3$. We vertically shift $a(x)$ one unit downwards to get $g(x)=x^3-1$. We use 3 points: $(-1,-2),(0,-1),(1,0)$ The domain of $g$ is: $D=(-\infty,\infty)$ The range of $g$ is: $R=(-\infty,\infty)$
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