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[Solution] Determine where the given function is increasing and decreasing, and where its graph is concave up and concave down. Find the relative extrema and

Question: Determine where the given function is increasing and decreasing, and where its graph is concave up and concave down. Find the relative extrema and inflection points, and sketch the graph of the function.

f(x) = x 3 + 3x 2 + 1

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