6612bf34   
   XPost: sci.math, sci.math.symbolic   
   From: ITSnetNOTcom#virgil@COMCAST.com   
      
   In article ,   
    "Nico du Bois"  wrote:   
      
   > "Dr. Muhammad Masroor Ali"  schreef in bericht   
   > news:9be27e8f.0501020515.38688911@posting.google.com...   
   > > Hello All,   
   > > I am rather stuck with some quadratic equation and thought that you   
   > > could help.   
   > >   
   > > I have four quadratic equations of the form,   
   > > y = a x^2 + bx + c, where 0 <= x <= 1.   
   > >   
   > > I need to find the maximum and minimum values of y (from four values)   
   > > for each point in the range of x ([0.0,1.0]). I know that I can plot   
   > > the equations and find the result visually. But is there a way of   
   > > solving this analytically?   
      
   Given f(x) = a x^2 + b x + c on closed interval [u,v],   
   if u <= -b/(2a) <= v, then one extreme of f on [u,v] is at -b/(2a) and   
   the other at one of {u,v}, otherwise they will be at u and v.   
      
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