Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 11: 77

Answer

The required graph is as follows:

Work Step by Step

The required function is $f(x)=max\{x, 2-x\}$ $\,\,\,\,\,\,\,\,\,\,\,\,=\begin{cases} x & x\geq 2-x \\ 2-x & x<2-x \end{cases}$ $\,\,\,\,\,\,\,\,\,\,\,\,=\begin{cases} x & 2x\geq 2 \\ 2-x & 2x<2 \end{cases}$ $\,\,\,\,\,\,\,\,\,\,\,\,=\begin{cases} x & x\geq 1 \\ 2-x & x<1 \end{cases}$. Further, the graph is as follows:
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