(a) Graph each of the following fourth-degree polynomials f in the viewing rectangle [−9,...

(a) Graph each of the following fourth-degree polynomials f in the viewing rectangle [−9, 9]by [− 6, 6].

(1) f(x)=−x4 − 2x3+ 5x2+ 6x − 3

(2) f(x)=x4−2x3+ 1

(3)

(4)

(b) Discuss the shape of the graph of f as |x| becomes large.

(c) Make a generalization about the end behavior of the function f(x)=ax4+ bx3+ cx2+ dx + e.