Consider the function f(x) = 2√x+1 on the interval [4, 7]. Find the average or mean slope o the function on this interval, to 3 decimal places. By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) equal to this mean slope. For this problem, there is only one c that works. Find it, and round to 3 decimal places.

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) = 2√x+1 on the interval [4, 7]. Find the average or mean slope of
the function on this interval, to 3 decimal places.
By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) is
equal to this mean slope. For this problem, there is only one c that works. Find it, and round to 3
decimal places.
Transcribed Image Text:Consider the function f(x) = 2√x+1 on the interval [4, 7]. Find the average or mean slope of the function on this interval, to 3 decimal places. By the Mean Value Theorem, we know there exists a c in the open interval (4, 7) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it, and round to 3 decimal places.
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