differentiable on the open interval (-2, 5), and (A) There is a number e in the interval (-2, 5) for which I. A function f is continuous on the closed interval (-2, 5]. (B) f(x) > 0 for all numbers in the interval (-2, 5). f(-2) = f(5) = 3. Which of the following statements must -2) = f(5) = 3. Which of the following statements must true? A There is a number e in the interval (-2, 5) for which f(c) = 0. o fx) = 3 for all numbers in the interval (-2, 5). (D) None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(please solve all parts i will give thumbs up)
1. A function f is continuous on the closed interval (-2, 5).
f(-2) = f(5) = 3. Which of the following statements must=
A
differentiable on the open interval (-2, 5), and
true?
A) There is a number c in the interval (-2, 5) for which
f(c) = 0.
R) fx) > 0 for all numbers in the interval (-2, 5).
() f') = 3 for all numbers in the interval (-2, 5).
(D) None of the above
The graph of f' for the interval (-3. 5] is shown below,.
On what interval(s) is(are) f decreasing?
y f)
(A) (-3, -2), (0, 1) and [3, 5)
(B) -3,-1] and [4, 5]
(C) (-3, -2] and [3, 5]
(D) (-3, -2] and [4. 5]
Transcribed Image Text:1. A function f is continuous on the closed interval (-2, 5). f(-2) = f(5) = 3. Which of the following statements must= A differentiable on the open interval (-2, 5), and true? A) There is a number c in the interval (-2, 5) for which f(c) = 0. R) fx) > 0 for all numbers in the interval (-2, 5). () f') = 3 for all numbers in the interval (-2, 5). (D) None of the above The graph of f' for the interval (-3. 5] is shown below,. On what interval(s) is(are) f decreasing? y f) (A) (-3, -2), (0, 1) and [3, 5) (B) -3,-1] and [4, 5] (C) (-3, -2] and [3, 5] (D) (-3, -2] and [4. 5]
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