Consider the rational function graphed below. Note that allzeros are pictured.

5 4 1 20 1 N 1 4 -3 -2 - 4 4 5 -2 -3 -4 (a) What term(s)/factor(s) must appear in the numerator of our rational func- tion and what feature of the graph tells you this? (b) What term(s)/factor(s) must appear in the denominator of our rational func- tion and what feature of the graph tells you this? (c) What does the end behavior (horizontal asymptote) of the graph tell you about how the numerator and denominator are related? (a) Give a possible formula for this function. (You can assume the leading coefficients of the top and bottom polynomials are both 1.)