Question: Consider the function g(x) = 10 - 10e -0.1x , x 0. (a) Show that g(x) is increasing and concave down for x

Consider the function g(x) = 10 - 10e-0.1x, x ≥ 0.

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

(b) Explain why g(x) approaches 10 as x gets large.

(c) Sketch the graph of g(x), x ≥ 0.

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