Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all of the following conditions: f(1) = 11 ; f(4) = -16; f’(x) > 0 when x < 1 and again when x > 4; f’(x) < 0 when 1 < x < 4

Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all of the following conditions: f(1) = 11 ; f(4) = -16; f’(x) > 0 when x < 1 and again when x > 4; f’(x) < 0 when 1 < x < 4

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 58E

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Question

Determine the values of a, b, and c such that the cubic function f(x)=ax^3+ bx^2+ cx satisfies all of the following conditions:
f(1) = 11 ; f(4) = -16; f’(x) > 0 when x < 1 and again when x > 4; f’(x) < 0 when 1 < x < 4

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