# Math

posted by
**Aymal**
.

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.)