Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. Which of the following is true: f(0) < f(2), f(0) = f(2), or f(0) > f(2)? Provide a brief justification for your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. Which of the following is true: f(0) < f(2), f(0) = f(2), or f(0) > f(2)? Provide a brief justification for your answer.
Y
4+
3+
2.
1.
-3
(1,0) 2
3
(-3,0)
V
(0, -0.5)
(2,-0.5)
-2-
(3,-2)
-1,-2)
-3+
(-1.-3)
(4, -3)
+
y = f'(x)
I
Transcribed Image Text:Y 4+ 3+ 2. 1. -3 (1,0) 2 3 (-3,0) V (0, -0.5) (2,-0.5) -2- (3,-2) -1,-2) -3+ (-1.-3) (4, -3) + y = f'(x) I
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