College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Summary, Review, and Test - Review Exercises - Page 324: 22

Answer

The function is odd and has symmetry with respect to the origin.

Work Step by Step

f(x)=x$^3$-5x f(-x)=(-x)$^3$-5(-x) f(-x)=-x$^3$+5x -f(x)=-(x$^3$-5x) -f(x)=-x$^3$+5x Since f(-x)=-f(x), the function is odd. Odd functions have symmetry with respect to the origin.
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