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Consider the following function. $f(x)=4x_{3}+9x_{2}?54x+4$ (a) Find the intervals on which $f$ is increasing. (Enter your answer using interval notation $(23?,?)$ Find the interval on which $f$ is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of $f$. local minimum value local maximum value (c) Find the inflection point.

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