9 12 י Sketch a graph of a rational function that satisfies the following conditions: ƒ(0) = 0, f(-3)= −5, f(3) = 5 f(x) is undefined for x = +2 f'(-3)= f'(0) = ƒ'(3) = 0 f'(x)<0 for -30 for x < −3,x > 3 f"(0) = 0 f"(x) <0 for x<-2,00 for-22
9 12 י Sketch a graph of a rational function that satisfies the following conditions: ƒ(0) = 0, f(-3)= −5, f(3) = 5 f(x) is undefined for x = +2 f'(-3)= f'(0) = ƒ'(3) = 0 f'(x)<0 for -30 for x < −3,x > 3 f"(0) = 0 f"(x) <0 for x<-2,00 for-22
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Sketch a graph of a rational function that satisfies the following conditions:
f(0) = 0, f(-3) = -5, f(3)=5f(x) is undefined for x=+2, -2
f'(-3) = f'(0)=f'(3) = 0
f' (x)
f'(x)>0 for x 3
f"(0)=0
f"(x)
f"(x) > 0
for -22
Transcribed Image Text:9
12
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
ƒ'(−3) = ƒ'(0) = ƒ'(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
f"(x) <0 for x<−2,0<x<2;
f"(x)>0 for-2<x<0 and x>2
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