1) Let f(x) = (x +4)(3x +7)(-x-1) g(x) = x+3 x-3 a) (6pts) Find the exact x- and y-intercepts of f(x) and g(x) b) (6pts) Sketch the graphs of f (x) and g(x) and label your intercepts for each graph. c) (6pts) Describe the end behavior for f(x) and for g(x). d) Describe the asymptotes (vertical and horizontal) of g(x) i) (3pts) Explain how you know where the asymptotes based on the equation. ii) (3pts) Label the asymptotes on your sketch of the graph of g(x)