Answer
Odd, Origin
Work Step by Step
$f(x) = x^3-5x$
$f(-x) = (-x)^3-5(-x)=-(x^3-5x)=-f(x)$
f(x) = -f(-x), hence the function is odd and symmetric about the origin.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 196: 72
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