Consider the function f(x) = 2/x + 4 on the interval 3, 10. 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, 10) 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) = 2/x + 4 on the interval 3, 10. 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, 10) such that f (c) is equal to this mean slope. For this problem, there is only one c that works. Find it.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.

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