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: 59


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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 modulus function, symbolized by $\left| x \right|$. As we can observe from the graph, the range of the given function is $\left[ 0,\infty \right)$ , since the graph lies above the x-axis. Thus, the range of the function is $\left[ 0,\infty \right)$.
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