Solve all questions. And graph. For a polynomial function y = f(x):f(x) > 0 when 1 4and f(x) < 0 when x<-3 or -3

Here we'll keep in mind he facts that: (i) A function is positive if its graph remains above x axis…

Answered: For a polynomial function y = f(x):…

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For a polynomial function y = f(x): f(x) > 0 when 1 4 and f(x) <0 when x<-3 or -3

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 89E

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Question

Solve all questions. And graph.

For a polynomial function y = f(x):
f(x) > 0 when 1 <x<4 or x>4
and f(x) < 0 when x<-3 or -3 <x<1.
a) Sketch a possible graph of the function.
b) Write a possible equation for this family of polynomial functions.
c) Is it possible to find a unique equation for this polynomial function
with given information. If yes, explain how you will find it? If not, why
not explain?

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