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March 15th, 2012, 11:42 PM   #1
Joined: Mar 2012

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Help! Graphing a function

Sketch the graph of a function that satisfies all of the given conditions;

Domain of f={x|x?2}
f(4)=2, f(4)=0, f(4)<0
f(5)=1, f(5)<0, f(5)=0
f(6)=0, f(6)=0, f(6)>0
f(x)<0 for x<2 and for 2<x<5
lim x --> -infinity f(x)=3, lim x --> infinity f(x)= infinity
lim x --> 2 f(x)=-infinity

I would greatly appreciate it if you could help me.
Thank you.
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March 16th, 2012, 12:18 AM   #2
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Math Focus: Calculus/ODEs
Re: Help! Graphing a function

Here's a very rough sketch, but hopefully it conveys the idea:

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