Consider the function f(x) 1 on the interval - 3, 8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) 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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Consider the function f(x)
1
on the interval
-
3, 8]. Find the average or mean slope of the
function on this interval.
By the Mean Value Theorem, we know there
exists a c in the open interval (3, 8) such that
f'(c) is equal to this mean slope. For this
problem, there is only one c that works. Find it.
Transcribed Image Text:Consider the function f(x) 1 on the interval - 3, 8]. Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open interval (3, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
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