Question: (a) Use a graphing utility to compare the graph of the function y = e x with the graph of each given function. (i) (ii)

(a) Use a graphing utility to compare the graph of the function y = e^x with the graph of each given function.

(i) Y = 1 + X 1!

(ii)

(iii)

(b) Identify the pattern of successive polynomials in part (a), extend the pattern one more term, and compare the graph of the resulting polynomial function with the graph of y = e^x.

Y = 1 + X 1!

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