18. Sketch a graph of a rational function that satisfies the following conditions -8 y 8 61 + -6 14 6 8 X f(0) = 0, f(-4)=2, f(4) = -2 f(x) is undefined for x = +2 f(-4)=f'(0) = f(4) = 0 f'(x) <0 for x<-4, x>4 f'(x) 0 for -40 for x<-2, 02
18. Sketch a graph of a rational function that satisfies the following conditions -8 y 8 61 + -6 14 6 8 X f(0) = 0, f(-4)=2, f(4) = -2 f(x) is undefined for x = +2 f(-4)=f'(0) = f(4) = 0 f'(x) <0 for x<-4, x>4 f'(x) 0 for -40 for x<-2, 02
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 42E: Write an equation that defines a rational function with a vertical asymptote at x=2 and a horizontal...
Question
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![18. Sketch a graph of a rational function that satisfies the following conditions
-8
y
8
61
+
-6
14
6
8
X
f(0) = 0, f(-4)=2, f(4) = -2
f(x) is undefined for x = +2
f(-4)=f'(0) = f(4) = 0
f'(x) <0 for x<-4, x>4
f'(x) 0 for -4<x<-2, -2<x<0 and
0<x<2, 2<4
f"(0)=0
f"(x)>0 for x<-2, 0<x<2
f"(x) <0 for -2<x<0,x>2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5986c53-89d8-485d-a238-f86659e0f504%2F6090f8e8-59fc-4b92-aa91-05bd2c1a8197%2Fd846tc_processed.png&w=3840&q=75)
Transcribed Image Text:18. Sketch a graph of a rational function that satisfies the following conditions
-8
y
8
61
+
-6
14
6
8
X
f(0) = 0, f(-4)=2, f(4) = -2
f(x) is undefined for x = +2
f(-4)=f'(0) = f(4) = 0
f'(x) <0 for x<-4, x>4
f'(x) 0 for -4<x<-2, -2<x<0 and
0<x<2, 2<4
f"(0)=0
f"(x)>0 for x<-2, 0<x<2
f"(x) <0 for -2<x<0,x>2
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