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Consider the equation below. f(x) = 2x3 + 3x2 - 12x (a) Find the interval on which f is increasing. (Enter your answer in interval notation.) Find the interval on which f is decreasing. (Enter your answer in interval notation.) (b) Find the local minimum and maximum values of f. local minimum local maximum (c) Find the inflection point. ( x, y ) = Find the interval on which f is concave up. (Enter your answer in interval notation.) Find the interval on which fis concave down. (Enter your answer in interval notation.)Consider the equation below. f(x) = 4x3 + 3x2 - 6x+ 7 (a) Find the intervals on which f is increasing. (Enter your answer using interval notation.) 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. ( x, y ) = Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)Consider the equation below. f(x) = 9 sin(x) + 9 cos(x), OSX S 2n (a) Find the interval on which f is increasing. (Enter your answer using interval notation. ) 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 points. ( x, y ) = (smaller x-value) ( x, y ) = ( larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.)