Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 55


$$ x=0, x=\pm 2.$$

Work Step by Step

The zeros of $f(x)= x^3-4x$ can be obtained by putting $$x^3-4x=0\Longrightarrow x(x^2-4)=0 \Longrightarrow x=0, x=\pm 2.$$ Since $f(-x)=-f(x)$.
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