Consider the function f(x) = 6/T + 4 on the interval [4, 7]. 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 (4, 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
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Consider the function f(x) = 6I + 4 on the interval [4, 7]. 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 (4, 7) 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) = 6I + 4 on the interval [4, 7]. 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 (4, 7) 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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