Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Review Exercises and Problems for Chapter Eleven - Page 484: 18

Answer

$$ lim(x\rightarrow \infty)=\infty $$ $$ lim(x\rightarrow -\infty)=-\infty$$

Work Step by Step

We look at the term of the highest degree for the polynomial. Doing this, we see that this is a cubic function with a positive coefficient. Thus: $$ lim(x\rightarrow \infty)=\infty $$ $$ lim(x\rightarrow -\infty)=-\infty$$
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