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Sketch the graph of aational function y=f) that satisfies all of the following conditions. a) The horizontal asymptote is y=2 b) The vertical asymptotes are = 3 and =-3. c) f'(0) = 0 d) f'(x) <0 for 03 e) f'() >0 for I<-3 and for - 3<<0 f f"() >0 for I<-3 and x>3. 9)f"(x) <0 for - 3

Sketch the graph of aational function y=f) that satisfies all of the following conditions. a) The horizontal asymptote is y=2 b) The vertical asymptotes are = 3 and =-3. c) f'(0) = 0 d) f'(x) <0 for 03 e) f'() >0 for I<-3 and for - 3<<0 f f"() >0 for I<-3 and x>3. 9)f"(x) <0 for - 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Sketch the graph of a rational function y=fx) that satisfies all of the following conditions. a) The horizontal asymptote is y = 2. b) The vertical asymptotes are x = 3 and x =-3. c) f'(0) = 0 d) f'(x) <0 for 0 <x<3 and for x > 3 e) f'(x) > 0 for *<-3 and for - 3 <*<0 f) f"(x) >0 for x <-3 and x > 3. 9) f"(x) <0 for - 3<x< 3.
Transcribed Image Text:Sketch the graph of a rational function y=fx) that satisfies all of the following conditions. a) The horizontal asymptote is y = 2. b) The vertical asymptotes are x = 3 and x =-3. c) f'(0) = 0 d) f'(x) <0 for 0 <x<3 and for x > 3 e) f'(x) > 0 for *<-3 and for - 3 <*<0 f) f"(x) >0 for x <-3 and x > 3. 9) f"(x) <0 for - 3<x< 3.
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