Sketch a possible graph of a function that:

(a) is a cubic polynomial function with a negative leading coefficient, has a zero at x = 3,

and has a zero of multiplicity 2 at x = 1.

(b) is a rational function with vertical asymptotes at x = 3 and x = 3, has a horizontal

asymptote at y = 1, and is decreasing on the intervals (-infinity , 3) U (-3, 3) U (3, infinity).