(x + 3)³ 4(x – 1)2 12 16 11 4. Note that 4 Consider the function f(x) + + 4 x - 1 (x – 1)2 (x – 9)(x + 3)² 24(x + 3) (ar – 1)ª f'(x) = and f"(x)= 4(x – 1)³ Construct a table of signs for f' and f" which specifies the following: a) The intervals on which the graph of fis increasing, decreasing, concave up, and concave down and b) The values of x at which f has relative extrema, inflection points, and vertical asymptotes (if any).

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