B1. Take f to be the polynomial that is given by f(I) = (2+ 300)10(x+ 7)2 (x- 10) (x-900) 55 (x+ 700) 24 ( - 2) (x - 500) 31 Note that f(x) is asymptotically equal to 142. (a) What are the zeros of f and what are their orders? (b) What are the poles of f and what are their orders? (c) Determine the sketched local behavior that best represents the local behavior of f: y y (1 y (4) (5) (6) I = 10 x = 10 x = 10 x = 10 x = 10 x = 10 y y (1 ) (2) y (3) (4) x x = 2 x =2 x = 2 x = 2 y y y (2) (3 (4 5 6 x = -7 2= -7 = C=-7 :-7