Consider the function f(x) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6)-f(-5) 6-(-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) 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) = 4-4x² on the interval [-5, 6]. (A) Find the average or mean slope of the function on this interval, i.e. f(6)-f(-5) 6-(-5) (B) By the Mean Value Theorem, we know there exists a c in the open interval (-5, 6) 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
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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