Consider the given: х3 — 4х2 x(х + 8)(х — 2) (x + 2)3 8(7x – 4) f(x) = ;f"(x) (x + 2)2 i f (x) : (x + 2)4 Construct a table of signs for f and f'. Specify the following: intervals on which the graph is increasing, decreasing, concave up, and concave down the values of x at which the graph has a relative extrema, inflection points, and vertical asymptotes (if there are). b. Sketch the graph and emphasize its concavity. Label the following: • intercept points relative extremum points inflection points with their coordinates asymptotes and their equations

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A:

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A: