Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = 3 sin(x) + 3 cos(x), 0≤x≤ 2π (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) π 3π 4 Find the interval on which fis decreasing. (Enter your answer using interval notation.) 0, (b) Find the local minimum and maximum values of f. local minimum value -3√2 local maximum value 3√2 (c) Find the inflection points. 3x (x, y) = ( 4 (x, y) = 7π 4 X X (smaller x-value) Find the interval on which fis concave up. (Enter your answer using interval notation.) (74,21 X (larger x-value) Find the interval on which fis concave down. (Enter your answer using interval notation.) 3π 7π

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