Consider the equation below.

f(x) = 3 sin(x) + 3 cos(x), 0 x 2

(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 off.

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 f is concave down. (Enter your answer using interval notation.)