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. [list=1] [*]Explain of a rule for each characteristic of the graph. [*]Can a rational function have no asymptotes and no points of discontinuity? [/list]