Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 3 - Section 3.6 - Graphing Piecewise-Defined Functions and Shifting and reflecting Graphs of Functions - Exercise Set - Page 183: 56

Answer

see graph

Work Step by Step

The red graph is the graph of the first piece. The blue graph is the graph of the second piece. The green graph is the graph of the third piece. The graph of the given piecewise function, $ f(x)= \begin{cases} -\dfrac{1}{3}x \text{ if } x\le0 \\\\ x+2 \text{ if } 0\lt x\le4 \\\\ 3x-4 \text{ if } x\gt4 ,\end{cases}$ is shown above.
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