Consider the equation below. (Give your answers correct to two decimal places.)
f(x) = 8sin(x) + 8cos(x)
0 ≤ x ≤ 2
(a) Find the intervals on which f is increasing. (Enter the interval that contains smaller numbers first.)
( , ) union ( , )
Find the interval on which f is decreasing.
( , )
(b) Find the local minimum and maximum values of f.
(min)
(max)
(c) Find the inflection points.
( , ) (smaller x value)
( , ) (larger x value)
Find the interval on which f is concave up.
( , )
Find the intervals on which f is concave down. (Enter the interval that contains smaller numbers first.)