March 15th, 2012, 11:42 PM  #1 
Newbie Joined: Mar 2012 Posts: 1 Thanks: 0  Help! Graphing a function
Sketch the graph of a function that satisfies all of the given conditions; Domain of f={xx?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. 
March 16th, 2012, 12:18 AM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: Help! Graphing a function
Here's a very rough sketch, but hopefully it conveys the idea: [attachment=0:btiuqke9]graph.jpg[/attachment:btiuqke9] 

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