Consider the function f(x) == on the interval [3, 6]. (A) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists a c in the open interval (3,6) 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 values:

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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MEAN VALUE THEOREM THANK YOU
Consider the function f(x) == on the interval [3, 6].
(A) Find the average or mean slope of the function on this
interval.
Average Slope =
(B) By the Mean Value Theorem, we know there exists a c
in the open interval (3,6) such that ƒ'(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 values:
Transcribed Image Text:Consider the function f(x) == on the interval [3, 6]. (A) Find the average or mean slope of the function on this interval. Average Slope = (B) By the Mean Value Theorem, we know there exists a c in the open interval (3,6) such that ƒ'(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 values:
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