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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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?
Transcribed Image Text: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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