Question: In Exercises, sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x =

In Exercises, sketch the graph of a single function that has all of the properties listed.

(a) Continuous and differentiable everywhere except at x = 1, where it has a vertical asymptote

(b) f'(x) < 0 everywhere it is defined

(c) A horizontal asymptote at y = 2

(d) f"(x) < 0 on (-∞, 1) and (2, 4)

(e) f"(x) > 0 on (1, 2) and (4, ∞)

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