Investigating Rational Functions
This geogebra applet is designed as an exploration into rational functions that take the form: f(x)=(ax^m+b)/(cx^n+d) The applet is equipped with an explanation of how each variable coefficient and exponent (a, b, c, d, m, and n) affects the graph. While the explanations are given, the manipulation of rational functions can be additionally explored through the manipulation of sliders for each of these variables. Finally, the different asymptotes, interce-pts, and the rational function itself are color coded to a key placed in the applet. This will help you interpret the graph. Enjoy!