Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.3 - More on Functions and Their Graphs - Exercise Set - Page 198: 60

Answer

See below:
1568341287

Work Step by Step

(b) Consider the function: $f\left( x \right)=\left\{ \begin{align} & x\text{ if }x<0 \\ & -x\text{ if }x\ge 0 \end{align} \right.$ This function is similar to the reflection of modulus function about the x axis, symbolized by $\left| x \right|$. As can be seen from the graph, the range of the function is $\left( -\infty ,0 \right]$ , since the graph lies below the x-axis. Thus, the range of the function is $\left( -\infty ,0 \right]$.
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