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
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Chapter2: Second-order Linear Odes
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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
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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