Consider the function f(x) = 2x - 15æ? – 36x + 7 on the interval [-4, 9]. Find the average or mean slope of the function on this interval. Average slope %3D By the Mean Value Theorem, we know there exists at least one c in the open interval (-4,9) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Consider the function
f(x) = 2x – 15x? – 36x + 7
on the interval [-4, 9]. Find the average or mean slope of the function on this interval.
Average slope
%3D
By the Mean Value Theorem, we know there exists at least one c in the open interval (4,9) such that f'(c) is equal
to this mean slope. Find all values of c that work and list them (separated by commas) in the box below.
List of numbers:
Transcribed Image Text:Consider the function f(x) = 2x – 15x? – 36x + 7 on the interval [-4, 9]. Find the average or mean slope of the function on this interval. Average slope %3D By the Mean Value Theorem, we know there exists at least one c in the open interval (4,9) such that f'(c) is equal to this mean slope. Find all values of c that work and list them (separated by commas) in the box below. List of numbers:
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