Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.5 Graphing Techniques: Transformations - 1.5 Assess Your Understanding - Page 99: 65

Answer

See graph (red). domain $(-\infty, \infty)$, range $[0,\infty)$.

Work Step by Step

Step 1. To obtain the graph of $f(x)=2|1-x|=2|x-1|$ from $y=|x|$, shift the curve 1 unit to the right, then stretch vertically by a factor of 2. See graph (red). Step 2. We can find the domain $(-\infty, \infty)$ and the range $[0,\infty)$.
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