Before we did this we recalled factoring a polynomial using the area model. My work and some other groups work.
Then we reviewed a rational function with y = 0 as the horizontal asymptote. Degree of numerator is less than degree of denominator. Two examples.
Then we reviewed a rational function where with a horizontal asymptote of y = some number other than zero. Degree of Numerator = Degree of Denominator. Horizontal asymptote is y = (Leading Coefficient of Numerator) / (Leading Coefficient of the Denominator).
Then we looked at Rational Functions where the degree of the numerator is one more than the degree of the denominator. This creates an oblique asymptote.