Consider the function f(x) = 10√x + 4 on the interval [1, 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 (1, 8) 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) = 10√x + 4 on the interval [1, 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 (1, 8) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 9CR
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![Consider the function f(x) = 10√x + 4 on the interval [1, 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 (1,8) 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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Transcribed Image Text:Consider the function f(x) = 10√x + 4 on the interval [1, 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 (1,8) such that f'(c) is equal
to this mean slope. For this problem, there is only one c that works. Find it.
> Next Question
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