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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, -2 f'(-3) = f'(0)=f'(3) = 0 f'(x) < 0 for -30 for x<-3, x > 3 f''(0)=0 f''(x)<0 for x<-2, 0 0  for -2 < x< 0 and x>2

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, -2 f'(-3) = f'(0)=f'(3) = 0 f'(x) < 0 for -30 for x<-3, x > 3 f''(0)=0 f''(x)<0 for x<-2, 0 0  for -2 < x< 0 and x>2

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 98E
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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, -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

f''(x)<0 for x<-2, 0<x<2;

f"(x)> 0  for -2 < x< 0 and x>2

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