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Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 −...

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Basic Math

Consider the equation below. (If an answer does not exist, enterDNE.) f(x) = x3 − 9x2 − 21x + 9

(a) Find the interval on which f is increasing. (Enter youranswer using interval notation.) Find the interval on which f isdecreasing. (Enter your answer using interval notation.)

(b) Find the local minimum and maximum values of f. localminimum value local maximum value

(c) Find the inflection point. (x, y) = Find the interval onwhich f is concave up. (Enter your answer using interval notation.)Find the interval on which f is concave down. (Enter your answerusing interval notation.)

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