Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) ∞, -3) X Find the interval on which f is decreasing. (Enter your answer using interval notation.) (-3,1.5) (b) Find the local minimum and maximum values of f. local minimum value -64 local maximum value 7.375 (c) Find the inflection point. (x, y) = (-0.75, -6.375 X X Find the interval on which fis concave up. (Enter your answer using interval notation.) (-∞,-0.75) U(-0.75,00) X Find the interval on which f is concave down. (Enter your answer using interval notation.) (-∞, -0.75)

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