Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.1 Four Ways to Represent a Function - 1.1 Exercises - Page 22: 72

Answer

The following image shows the completed graphs of f when it is (a) even and when it is (b) odd:

Work Step by Step

(a) The graph is completed by graphing a reflection of f on the y-axis since even functions have the property: $f(-x) = f(x)$ (b) The graph is completed by graphing a line symmetric to f with respect to the origin, since odd functions have the property: $f(-x) = -f(x)$
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