(a) Graph each of the following cubic polynomials f in the viewing rectangle [−9, 9]by [−6, 6].
(1) f(x)=x3−x + 1
(2) f(x)=−x3 + 4x2 − 3x − 1
(3) f(x)=0.1x3 −1
(4) f(x)=−x3 + 4x + 2
(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)=ax3+ bx2+ cx + d.
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