Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.6 Graphs of Basic Functions - 2.6 Exercises - Page 257: 38

Answer

$f(x)=\begin{cases} \ \ \ 1,\ x\le -1 \\ -1,\ x\gt 2\end{cases}$ domain $(-\infty,-1]U(2,\infty)$ and range $\{-1,1 \}$

Work Step by Step

Step 1. Identify the left line equation as $y=1$ with $x\le -1$. Step 2. Identify the right line equation as $y=-1$ with $x\gt 2$. Step 3. Combine the above to get: $f(x)=\begin{cases} \ \ \ 1,\ x\le -1 \\ -1,\ x\gt 2\end{cases}$ Step 4. Identify the domain as $(-\infty,-1]U(2,\infty)$ and range as $\{-1,1 \}$
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