A Rational Function with Numerator & Denominator Degrees of Four or Less
by Mike Martin

On this page, you can vary the parameters for a rational function (with degrees of numerator and denominator of four 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 rational function (with degrees of numerator and denominator of four or less) may be writtten as


Enter in the value of the parameters a4, a3, a2, a1, a0, b4, b3, b2, b1, b0, and select the plotting bounds, then press the "Evaluate" button.

a4 =  

a3 =  

a2 =  

a1 =  

a0 =  

b4 =  

b3 =  

b2 =  

b1 =  

b0 =  

  ≤   x   ≤  

  ≤   f ( x )   ≤  


References:

Wikipedia's Rational Functions

MathWorld's Rational Functions