, 6]. che function on this interval. 1/sqrtx ow there exists a c in the open interval (2, 6) such tl

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Question
f(x) = 2/x + 2 on the interval [2, 6].
Find the average or mean slope of the function on this interval. 1/sgrtx
By the Mean Value Theorem, we know there exists a c in the open interval (2, 6) such that
f' (c) is equal to this mean slope.
For this problem, there is only one c that works. c =
3.732
Transcribed Image Text:f(x) = 2/x + 2 on the interval [2, 6]. Find the average or mean slope of the function on this interval. 1/sgrtx By the Mean Value Theorem, we know there exists a c in the open interval (2, 6) such that f' (c) is equal to this mean slope. For this problem, there is only one c that works. c = 3.732
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