Copy of 1C Zeros, Asymptotes and Points of Discontinuity

For the graph of a rational function, knowing whether a factor is in the numerator, denominator or both is key to understanding where zeros, asymptotes and points of discontinuity occur. Use the sliders to change the factors. [br][list=1][br][*]Explain of a rule for each characteristic of the graph.[br][br][*]Can a rational function have no asymptotes and no points of discontinuity?[br][/list]

Information: Copy of 1C Zeros, Asymptotes and Points of Discontinuity