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November 12th, 2012, 09:16 PM  #1 
Newbie Joined: Oct 2012 Posts: 11 Thanks: 0  Determining graphs with cont functions
My question asks me to select a graph that fits this description, however I keep getting it wrong. I know that I'm to pick a graph with 1 critical point, and that vertical tangent lines count as crit. pts, but My first two selections were wrong... Question: How would graph look like If f is a continuous function on (?4, 4) such that (a) f has exactly 3 critical points, (b) f has exactly 1 local maximum, (c) f''(x) > 0 on (?4, ?2), (d) f''(x) < 0 on (0, 2), (e) (0, 1) is an in?ection point, (f) f'(x) < 0 on (2, 4). 
November 13th, 2012, 09:10 PM  #2 
Senior Member Joined: Aug 2012 From: New Delhi, India Posts: 157 Thanks: 0  Re: Determining graphs with cont functions
What do you mean by a critical point? Do the 3 critical points include the local maximum? And if you have options, it's better you take a picture of the question sheet and upload it to some image posting website and link it here. Here is a recommended website to do so http://imageshack.us/ 
November 14th, 2012, 11:22 AM  #3  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Determining graphs with cont functions Quote:
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March 8th, 2013, 07:01 AM  #4  
Global Moderator Joined: Dec 2006 Posts: 19,293 Thanks: 1684  Re: Determining graphs with cont functions Quote:
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