Sketch the graph of a continuous polynomial function that satisfies all the following conditions. • f(x) > 0 only when −4 < x < 2 • f ′′(x) < 0 only when x < 0 or x > 6 • one of the critical points is at x = 6 Clearly plot any important points. Graph does not have to be to scale. Include a point form explanation of what each of the 3 conditions above told you about the graph. Include a scale on the x-axis only.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Sketch the graph of a continuous polynomial function that satisfies all the following conditions.

• f(x) > 0 only when −4 < x < 2

• f ′′(x) < 0 only when x < 0 or x > 6

• one of the critical points is at x = 6

Clearly plot any important points. Graph does not have to be to scale. Include a point form explanation of what each of the 3 conditions above told you about the graph. Include a scale on the x-axis only.

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