Question: Consider the function f (x) = 5(1 - e -2x ), x 0. (a) Show that f (x) is increasing and concave down for

Consider the function f (x) = 5(1 - e-2x), x ≥ 0.

(a) Show that f (x) is increasing and concave down for all x ≥ 0.

(b) Explain why f(x) approaches 5 as x gets large.

(c) Sketch the graph of f (x), x ≥ 0.

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