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: 39

Answer

See graph Domain: $(-\infty,\infty)$ Range: $[-1,\infty)$

Work Step by Step

We are given the function: $f(x)=x^2-1$ We start with the basic function $a(x)=x^2$. We shift $a(x)$ one unit down to get $f(x)=x^2-1$. The domain of $f$ is: $D=(-\infty,\infty)$ The range of $f$ is: $R=[-1,\infty)$
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