(a) Graph the cubic polynomialsandin the same coordinate plane, using each of the followin...

(a) Graph the cubic polynomials

and

in the same coordinate plane, using each of the following viewing rectangles:

(1) [− 2, 2]by [− 2, 2]

(2) [−10, 10] by [− 10, 10]

(3) [−50, 50, 10] by [−5000, 5000, 1000]

(4) [−100, 100, 10] by [−5 × 105, 5 × 105, 105]

(b) As the viewing rectangle increases in size, how do the graphs of the four functions compare?

(c) Which term has the greatest influence on each function’s value when |x| is large?