Consider the function f(x) = 2x³ - 5x on the closed interval [-4, -2]. Find the exact value of the slope of the secant line connecting (-4, ƒ(−4)) and (−2, ƒ(−2)). m = By the Mean Value Theorem, there exists c in (-4,-2) so that m = = f'(c). Find all values of such c in (-4,-2). Enter exact values. If there is more than one solution, separate them by a comma. C=

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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7.

Consider the function f(x) =
=
2x³ – 5x on the closed interval [−4, –2].
Find the exact value of the slope of the secant line connecting (−4, ƒ(−4)) and (−2, ƒ(−2)).
m =
By the Mean Value Theorem, there exists c in (-4, −2) so that m = f'(c). Find all values of such c in
(–4, −2). Enter exact values. If there is more than one solution, separate them by a comma.
C =
Transcribed Image Text:Consider the function f(x) = = 2x³ – 5x on the closed interval [−4, –2]. Find the exact value of the slope of the secant line connecting (−4, ƒ(−4)) and (−2, ƒ(−2)). m = By the Mean Value Theorem, there exists c in (-4, −2) so that m = f'(c). Find all values of such c in (–4, −2). Enter exact values. If there is more than one solution, separate them by a comma. C =
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