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September 22nd, 2011, 03:26 PM  #1 
Newbie Joined: Sep 2011 Posts: 18 Thanks: 0  Finding a polynomial function given a graph
So I really have no idea how to do this whatsoever. I've been given a graph of a polynomial function of at least degree 4 (it can be intersected by a horizontal line four times). It has three zeros going through the x axis at 0 and 4 and touching from above it at 2. One other point, at (1, 5) was also given. I have to find a function to describe this graph and I dont't even know where to begin. Any help would be appreciated.

September 22nd, 2011, 03:39 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,155 Thanks: 466 Math Focus: Calculus/ODEs  Re: Finding a polynomial function given a graph
With zeroes at (0,0), (4,0) and (2,0) (this one tangent so it must be a root of multiplicity 2 for a total of 4 roots) means we may write: We are given thus: giving: 
September 22nd, 2011, 03:49 PM  #3 
Newbie Joined: Sep 2011 Posts: 18 Thanks: 0  Re: Finding a polynomial function given a graph
Thanks so much!!


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