7. Sketch the graph of a function f(x) which has all of the following properties. 1. lim f(x) = -x 7. f'(x) > 0 if x < -2 or x > 5 x-2- 8. f'(x) < 0 if-2 < x < 2 or 2 < x < 5 9. f'(5) = 0 10. f'(-2) = 0 11. f"(x) > 0 if x < -3 or x > 2 12. f"(x) < 0 if -3 < x < 2 2. lim f(x) = ∞ x→2+ 3. lim f(x) = 0 H418 4. f(-2) = 2 5. f(5) = 1 6. f(0) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. Sketch the graph of a function f(x) which has all of the following properties.
1. lim f(x) ==∞
7. f'(x) > 0 if x < -2 or x > 5
x-2-
8. f'(x) < 0 if-2 < x < 2 or 2 < x < 5
9. f'(5) = 0
10. f'(-2) = 0
11. f"(x) > 0 if x < -3 or x > 2
12. f"(x) < 0 if −3 < x < 2
2. lim f(x) = ∞
x+2+
3. lim f(x) = 0
∞---x
4. f(-2) = 2
5. f(5) = 1
6. f(0) = 0
Transcribed Image Text:7. Sketch the graph of a function f(x) which has all of the following properties. 1. lim f(x) ==∞ 7. f'(x) > 0 if x < -2 or x > 5 x-2- 8. f'(x) < 0 if-2 < x < 2 or 2 < x < 5 9. f'(5) = 0 10. f'(-2) = 0 11. f"(x) > 0 if x < -3 or x > 2 12. f"(x) < 0 if −3 < x < 2 2. lim f(x) = ∞ x+2+ 3. lim f(x) = 0 ∞---x 4. f(-2) = 2 5. f(5) = 1 6. f(0) = 0
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