The Polynomial Function of Degree Six or Less
by Mike Martin

On this page, you can vary the parameters for a polynomial function of degree 6 or less. Once the parameters are set you can plot the function and its first and second derivatives. Submit real values for all of the parameters. Use at your own risk as some parameter values may produce erroneous graphs, but parameters consistent with the literature will work.

A polynomial function of degree six or less can be written as

f ( x ) = a6x6 + a5x5 + a4x4 + a3x3 + a2x2 + a1x + ao

Enter in the value of the parameters a6, a5, a4, a3, a2, a1, ao, and select the plotting bounds, then press the "Evaluate" button.

a6 =  

a5 =  

a4 =  

a3 =  

a2 =  

a1 =  

ao =  

  ≤   x   ≤  

  ≤   f ( x )   ≤  


References:

MathWorld's Polynomial Functions

Wikipedia's Polynomial Functions