Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter P - P.3 - Functions and Their Graphs - Exercises: 80

Answer

This is an odd function. The only zero is at x=0.

Work Step by Step

To find whether a function is even or odd, plug in -x and evaluate the result. $f(-x)=\sqrt[3]{(-x)}$ Because f(-x) is equal to the opposite of f(x), this is an odd function. To find the zeroes, set f(x) equal to 0. $f(x)=\sqrt[3]{(x)}$ $x=0$ The only zero is at x=0.
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