Let f be a function such that f(-1) = 14 and f (8) = 2. Which of the following conditions ensures that f(c) = 8 in the open interval (-1,8) ? (A) f(x) dx exists -1 (B) f' is defined for all values of x in the closed interval [-1,8] (C) ƒ is defined for all values of x in the closed interval [–1,8]. (D) f is decreasing on the closed interval [–1,8]. O A O B D
Let f be a function such that f(-1) = 14 and f (8) = 2. Which of the following conditions ensures that f(c) = 8 in the open interval (-1,8) ? (A) f(x) dx exists -1 (B) f' is defined for all values of x in the closed interval [-1,8] (C) ƒ is defined for all values of x in the closed interval [–1,8]. (D) f is decreasing on the closed interval [–1,8]. O A O B D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let f be a function such that f(-1) = 14 and f(8) = 2. Which of the following conditions ensures
that f(c) = 8 in the open interval (–1,8) ?
-8
(A) f(x) dx exists
(B) f' is defined for all values of x in the closed interval [-1,8]
(C) f is defined for all values of x in the closed interval [-1,8].
(D) ƒ is decreasing on the closed interval [–1,8].
O A](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bb9483f-e549-4e9c-b819-8ce0593a1865%2F0aa39c68-86da-47f7-8150-1332d5fc4ce2%2F52fym4w_processed.png&w=3840&q=75)
Transcribed Image Text:Let f be a function such that f(-1) = 14 and f(8) = 2. Which of the following conditions ensures
that f(c) = 8 in the open interval (–1,8) ?
-8
(A) f(x) dx exists
(B) f' is defined for all values of x in the closed interval [-1,8]
(C) f is defined for all values of x in the closed interval [-1,8].
(D) ƒ is decreasing on the closed interval [–1,8].
O A
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