Sketch a cubic polynomial g(x) with the following characteristics. g(x) > 0 on (-o0,-4) and (-2,3). g(x) < 0 when -4 < x < -2 and x > 3. g(0) = 5 What is the sign of the leading coefficient?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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Sketch a cubic polynomial g(x) with the following characteristics.
g(x) > 0 on (-0,-4) and (-2,3).
g(x) < 0 when -4 < x<-2 and x > 3.
g(0) = 5
What is the sign of the leading coefficient?
Transcribed Image Text:Sketch a cubic polynomial g(x) with the following characteristics. g(x) > 0 on (-0,-4) and (-2,3). g(x) < 0 when -4 < x<-2 and x > 3. g(0) = 5 What is the sign of the leading coefficient?
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