Answer
(a)
Work Step by Step
(see page 264)
The graph of a polynomial of degree n has at most n-1 local extrema.
a) if n=3 there can not be 4 extrema
b) possible, example:$ f(x)=x^{3}$
c) possible, example:$ f(x)=-x^{4}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 3 - Section 3.2 - Polynomial Functions and Their Graphs - 3.2 Exercises - Page 266: 4
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
