Consider the function f(x) = 3 - 3x² on the interval [-3, 6]. Find the average or mean slope of the function on this interval, i.e. f(6) - f(-3) 6-(-3) = By the Mean Value Theorem, we know there exists a c in the open interval (-3, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Consider the function f(x) = 3 - 3x² on the interval [-3, 6]. Find the average or mean slope of the function on this interval, i.e. f(6) - f(-3) 6-(-3) = By the Mean Value Theorem, we know there exists a c in the open interval (-3, 6) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter3: Linear And Nonlinear Functions

Section: Chapter Questions

Problem 26MCQ

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