Suppose that

.

**Note: **Several parts of this problem require answers entered in

interval notation. Note, with interval notation, you can enter the empty set as

.

(A) List all the critical values of

. Note: If there are no critical values, enter

*NONE*.

(B) Use interval notation to indicate where

is increasing.

Increasing:

(C) Use interval notation to indicate where

is decreasing.

Decreasing:

(D) List the

values of all local maxima of

. If there are no local maxima, enter

*NONE*.

values of local maximums =

(E) List the

values of all local minima of

. If there are no local minima, enter

*NONE*.

values of local minimums =

(F) Use interval notation to indicate where

is concave up.

Concave up:

(G) Use interval notation to indicate where

is concave down.

Concave down:

(H) List the

values of all the inflection points of

. If there are no inflection points, enter

*NONE*.

values of inflection points = (I) Use all of the preceding information to sketch a graph of

. Include all vertical and/or horizontal asymptotes. When you're finished, enter a "1" in the box below.