Consider the function f(x) = 2√√x+4 on the interval [2,6]. (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 at least one c in the open interval (2, 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:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Consider the function f(x) = 2√√x+4 on the interval [2,6].
(A) Find the average or mean slope of the function on this interval.
Average Slope
=1
(B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 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:
Transcribed Image Text:Consider the function f(x) = 2√√x+4 on the interval [2,6]. (A) Find the average or mean slope of the function on this interval. Average Slope =1 (B) By the Mean Value Theorem, we know there exists at least one c in the open interval (2, 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:
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