Rational F'ns & Asymptotic Behavior

You can use this environment to explore the behavior of rational functions formed by dividing a constant, linear or quadratic function by a linear or quadratic function. Define the numerator function by dragging the GREEN dots. Define the denominator function by dragging the BLUE dots. Fit the appropriate asymptote(s) to the rational function you have determined. Alternatively, you can choose a set of asymptotes and try to find a rational function with those asymptotes. What questions could/would you ask your students based on this applet?