Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true? (A) The average value off on the interval 2 ≤ x ≤ 5 is 6. (B) g'(2) = 6 (C) g'(5) + g'(2) 2 (D) √ 8(x) dx = 6 = 6

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 42SE: Let f(x)=1x . Find a number c such that the average rate of change of the functionfon the interval...
Question
Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the
average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true?
(A) The average value off on the interval 2 ≤ x ≤ 5 is 6.
(B) g'(2) = 6
(C)
g'(5) + g'(2)
2
(D) √ 8(x) dx = 6
= 6
Transcribed Image Text:Let f be a continuous function for all real numbers. Let g be the function defined by g(x) = √‚ªƒ (t) dt. If the average rate of change of g on the interval 2 ≤ x ≤ 5 is 6, which of the following statements must be true? (A) The average value off on the interval 2 ≤ x ≤ 5 is 6. (B) g'(2) = 6 (C) g'(5) + g'(2) 2 (D) √ 8(x) dx = 6 = 6
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