Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must be true for the functionf on the interval 15xS3? 5 The average rate of change of f is 2 I. II. The average value of f is III. The average value of f' is (A) None (B) I only III only (D) I and III only (E) II and III only

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Let f be a twice differentiable function such that f(1)= 2 and f(3)=7. Which of the following
must be true for the function f on the interval 15x53?
I.
The average rate of change off is
6.
The average value of f is
II.
III.
The average value of f is
(A) None
(B) I only
(C) III only
(D) I and III only
(E) II and III only
*NO CALC
O A
O B
OD
O E
Transcribed Image Text:Let f be a twice differentiable function such that f(1)= 2 and f(3)=7. Which of the following must be true for the function f on the interval 15x53? I. The average rate of change off is 6. The average value of f is II. III. The average value of f is (A) None (B) I only (C) III only (D) I and III only (E) II and III only *NO CALC O A O B OD O E
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