Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

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: 56

Answer

$x=0$

Work Step by Step

The zeros of $f(x)= x^3$ can be obtained by putting $$x^3=0\Longrightarrow x=0.$$ Since $f(-x)=-f(x)$, then the function is symmetric about the origin and it is increasing on the interval $(0,\infty)$.

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