Let
f(x) = x^3 - 12 x^2 + 21 x.

(A) Use interval notation to indicate wheref(x) is increasing.

** Note: ** Use 'INF' for \infty , '-INF' for -\infty ,
and use 'U' for the union symbol.

Increasing:

(A) Use interval notation to indicate where

Increasing:

(B) Use interval notation to indicate where

Decreasing:

(C) Find the average of the

Note: If there are no local maxima, enter -1000.

Average of

(D) Find the average of the

Note: If there are no local minima, enter -1000.

Average of

(E) Use the preceding information to sketch a
graph of

Graph Complete:

You can earn partial credit on this problem.