Consider the four graphs shown below. Select all graphs that satisfy the following four conditions: • f"(x) < 0 when -1 0 when x < -1 and x > 3, • f(-1) = -3, and • f(1) = -1. 0 0 f(x) +4 14 -2 0 2 4 W -4 -2 -2 -6- -2 2- -44 -6- -8- 0 f(x) 41 2 -4- 0 -4 -6 f(x) f(x) 2 2 4 2 4 X X X X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the four graphs shown below. Select all graphs that satisfy the following four conditions:
• f"(x) < 0 when -1<x<3,
• f"(x) > 0 when x < -1 and x > 3,
• f(-1) = -3, and
.
• f(1) = -1.
0
14
-20
-4
-4 -2
f(x)
2
0
-7
-4
-64
4, f(x)
41
f(x)
2
-2
W
√2+
-44
-64
-8+
4
2 4
2
X
X
X
f(x)
-2 0
2
4
W
-2
X
Transcribed Image Text:Consider the four graphs shown below. Select all graphs that satisfy the following four conditions: • f"(x) < 0 when -1<x<3, • f"(x) > 0 when x < -1 and x > 3, • f(-1) = -3, and . • f(1) = -1. 0 14 -20 -4 -4 -2 f(x) 2 0 -7 -4 -64 4, f(x) 41 f(x) 2 -2 W √2+ -44 -64 -8+ 4 2 4 2 X X X f(x) -2 0 2 4 W -2 X
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