Question 3 Consider a function f with the following properties. (a) Each of the functions f, f', and f" has domain (0, 10) and each is continuous on its domain. (b) ƒ(x) = 0 if and only if x = 4 . (c) f'(x) = 0 if and only if x = 2 or x = 6. (d) f"(x) = 0 if and only if x = 3. (e) f'(1) > 0, f'(5) < 0, and f'(9) > 0. (f) f"(1) < 0, f"(5) > 0, and f"(9) > 0. i. Sketch the graph of a function f that has the above properties. ii. Sketch y = }f(3x – 1) + 2.

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