3. (No Calculator Allowed!) Let g(x) = 4(x+ 1)" S(x) = [ g(C)dt for x 20. and let f be the fanction defined by (a) Find f(26). (b) Determine the concavity of the graph of y = f(x) for x>0. Jusify your anower. (c) Let A be the function defined by h(x) =x-f(x). Find the minimum value of h on the interval 0s IS 26.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Answer parts A,B and C. 

3. (No Calculator Allowed!) Let g(x) = 4(x + 1)-2/3 and let f be the function defined by
f(x) = f g(t)dt for x20.
(a) Find f(26).
(b) Determine the concavity of the graph of y = f(x) for x>0. Justify your answer.
(c) Let A be the function defined by h(x) = x- f(x). Find the minimum value of h on the interval 0s
xS 26.
Transcribed Image Text:3. (No Calculator Allowed!) Let g(x) = 4(x + 1)-2/3 and let f be the function defined by f(x) = f g(t)dt for x20. (a) Find f(26). (b) Determine the concavity of the graph of y = f(x) for x>0. Justify your answer. (c) Let A be the function defined by h(x) = x- f(x). Find the minimum value of h on the interval 0s xS 26.
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