1. Graph a function y = f(x) that satisfies all the following criteria: lim f(x)=0, lim f (x)=0, lim f (x)=-∞ X- f(x)is continuous on (-0,4) and (4,00) f(-6)=2, f(-3)=5, f(0)=0, f(2)=3, f(4)=undef f'(-3)=f'(2)=0 and f'(0) and f'(4)are undefined

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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1. Graph a function y = f(x) that satisfies all the following criteria:
lim f(x)=0, lim f (x)=0, lim f (x) = -a
=-00
f(x)is continuous on (-0,4) and (4,00)
f(-6)=2, f(-3)=5, f(0)=0, f(2)=3, f(4)=undef
f'(-3)= f'(2)=0 and f'(0) and f'(4)are undefined
f'(x)>0 if x<-3 or 0<x<2 or x>4
f'(x)<0 if -3<x<0 or 2<x < 4
f"(x)>0 if x<-6
f"(x)<0 if -6<x<0 or 0<x<4 or x>4
Transcribed Image Text:1. Graph a function y = f(x) that satisfies all the following criteria: lim f(x)=0, lim f (x)=0, lim f (x) = -a =-00 f(x)is continuous on (-0,4) and (4,00) f(-6)=2, f(-3)=5, f(0)=0, f(2)=3, f(4)=undef f'(-3)= f'(2)=0 and f'(0) and f'(4)are undefined f'(x)>0 if x<-3 or 0<x<2 or x>4 f'(x)<0 if -3<x<0 or 2<x < 4 f"(x)>0 if x<-6 f"(x)<0 if -6<x<0 or 0<x<4 or x>4
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