Consider the function f(x) = 3x^2 - 5x on the interval [-3, 3]. a) The slope of the secant line joining (-3, f(-3)) and (3, f(3)) is m = b) since the conditions of the mean value theorem hold true, there exists at least one c on (-3, 3) such that f '(c) = c) Find c

Consider the function f(x) = 3x^2 - 5x on the interval [-3, 3]. a) The slope of the secant line joining (-3, f(-3)) and (3, f(3)) is m = b) since the conditions of the mean value theorem hold true, there exists at least one c on (-3, 3) such that f '(c) = c) Find c

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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Question

Consider the function f(x) = 3x^2 - 5x on the interval [-3, 3].

a) The slope of the secant line joining (-3, f(-3)) and (3, f(3)) is m =

b) since the conditions of the mean value theorem hold true, there exists at least one c on (-3, 3) such that f '(c) =

c) Find c

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