Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - Chapter 3 Test Prep - Review Exercises - Page 399: 54

Answer

(a) domain $(-\infty,\infty)$ (b) range $(-\infty,0]$ (c) end behavior: fall to the left and right (see figure). (d) number of zeros: maximum $ 6$ (e) number of turning points: maximum $ 5$

Work Step by Step

Given the dominating term of a polynomial function as $-9x^6$, we can conclude the following: (a) domain $(-\infty,\infty)$ no bound horizontally. (b) range $(-\infty,0]$ bounded vertically. (c) end behavior: $n=6, a_6=-9\lt0$, fall to the left and right (see figure). (d) number of zeros: maximum $n=6$ (e) number of turning points: maximum $n-1=5$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.