Consider the function f(x) = 6 - 4x² on the interval [3, 7]. Find the average or mean slope of the function on this interval, i.e. f(7) f(-3) 7-(-3) By the Mean Value Theorem, we know there exists a c in the open interval (-3, 7) 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) = 6 - 4x² on the interval [3, 7]. Find the average or mean slope of the function on this interval, i.e. f(7) f(-3) 7-(-3) By the Mean Value Theorem, we know there exists a c in the open interval (-3, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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