Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the function on this interval, 1.e. f(5)- f(-4) 5-(-4) By the Mean Value Theorem, we know there exists a c in the open interval (-4, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: Video Submit Question Jump to Answer

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
Question
Consider the function f(a) =1-4x on the interval -4, 5. Find the average or mean slope of the
function on this interval, 1.e.
f(5)- f(-4)
5-(-4)
By the Mean Value Theorem, we know there exists a c in the open interval (-4, 5) 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(a) =1-4x on the interval -4, 5. Find the average or mean slope of the function on this interval, 1.e. f(5)- f(-4) 5-(-4) By the Mean Value Theorem, we know there exists a c in the open interval (-4, 5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it. Question Help: Video Submit Question Jump to Answer 36,182 2 21 stv Sl MacBook Pro
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