3. Sketch a graph of a rational function that satisfies the following conditions: f(0) = 0, f(-3) =-5, f(3) = 5 f (x) is undefined for x = ±2 f"(-3) = f"(0) = f'(3) = 0 f"(x) < 0 for -3 < x < -2 ,-2 < x < 0; ,0< x < 2,2 < x< 3 f'(x) > 0 for x <-3,x > 3 f"(0) = 0 y f"(x) < 0 for x <-2,0 < x < 2; f"(x) > 0 for – 2 < x < 0 and x > 2 6+ 4+ 2- -8 2 4 8 -우

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. Sketch a graph of a rational function that satisfies the following conditions:
f(0) = 0, f(-3) =-5, f(3) = 5
f (x) is undefined for x = ±2
f"(-3) = f'(0) = f"(3) = 0
f'(x)< 0 for - 3 <x < -2 ,-2<x< 0; ,0 < x < 2,2 < x < 3
f'(x) > 0 for x <-3,x> 3
f"(0) = 0
y
f"(x) < 0 for x <-2,0<x < 2;
f"(x) > 0 for -2 < x < 0 and x > 2
4
X
8.
6.
to
to
Transcribed Image Text:3. Sketch a graph of a rational function that satisfies the following conditions: f(0) = 0, f(-3) =-5, f(3) = 5 f (x) is undefined for x = ±2 f"(-3) = f'(0) = f"(3) = 0 f'(x)< 0 for - 3 <x < -2 ,-2<x< 0; ,0 < x < 2,2 < x < 3 f'(x) > 0 for x <-3,x> 3 f"(0) = 0 y f"(x) < 0 for x <-2,0<x < 2; f"(x) > 0 for -2 < x < 0 and x > 2 4 X 8. 6. to to
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