Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.4 Library of Functions; Piecewise-defined Functions - 2.4 Assess Your Understanding - Page 90: 2

Answer

Refer to to the graph below.

Work Step by Step

Create a table of values by assigning $x=-5, -1, -\frac{1}{5}, \frac{1}{5}, 1, 5$, then solving for the corresponding value of each $x$. (Refer to the table of values in the image below.) Then, plot each ordered pair from the table of values and connect the points using a smooth curve. Note that the graph has two curves, one at the top right (quadrant $I$) and one at the bottom left (quadrant $III$). Refer to the graph below.
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