For Problems 1 and 2, let f (x) = c(1 + e-ax) with a > 0. Use

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For Problems 1 and 2, let f (x) = c(1 + e-ax) with a > 0. Use a graphing utility to graph the functions.

1. (a) Fix a = 1 and graph y = f(x) = c(1 + e-x) for c = 10, 50, and 100.

(b) What effect does c have on the graphs?

2. (a) Fix c = 50 and graph y = f(x) = 50(1 + e-ax) for a = 0.1, 1, and 10.

(b) What effect does a have on the graphs?

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