Question: Question 2. [8] Let f(x) = x3 + 3x2 - 9x + 2 (a) Find all critical numbers of the function, f. (b) State the
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Question 2. [8] Let f(x) = x3 + 3x2 - 9x + 2 (a) Find all critical numbers of the function, f. (b) State the interval(s) where f is increasing and the interval(s) where f is decreasing. Use this to determine where f has a local maximum and where f has a local minimum. (c) Find the interval(s) where the graph of f is concave upwards and the interval(s) where it is concave downwards. Use this to determine the coordinates of any points of inection of the graph of f
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