Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - Chapter Review - Review Exercises - Page 243: 8

Answer

See solution.

Work Step by Step

Step 1: Given $f(x)=x(x+2)(x+4)$, we can determine the end behavior as similar to $y=x^3$. Step 2: For the x-intercept(s), let $y=0$, we have $x=-4,-2,0$, for the y-intercept(s), let $x=0$, we have $f(0)=0$. Step 3: We can determine the zeros as $x=-4,-2,0$ (all with multiplicity 1, cross the x-axis). Step 4: The maximum number of turning points is $n-1=2$ Step 5: See graph.
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