Suppose that
[math]
(A) Find all critical values of [math] , compute their
average, and enter it below.
Note: If there are no critical values, enter -1000.
Average of critical values =

(B) Use interval notation to indicate where [math] is increasing.

Note: Enter 'I' for [math] , '-I' for [math] , and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.

Increasing:

(C) Use interval notation to indicate where [math] is decreasing.
Decreasing:

(D) Find the [math] -coordinates of all local maxima of [math] ,
compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.

Average of [math] values =

(E) Find the [math] -coordinates of all local minima of [math] ,
compute their average, and enter it below.
Note: If there are no local minima, enter -1000.

Average of [math] values =

(F) Use interval notation to indicate where [math] is concave up.
Concave up:

(G) Use interval notation to indicate where [math] is concave down.
Concave down:

(H) Find all inflection points of [math] , compute their
average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =

(I) Find all horizontal asymptotes of [math] , compute the
average of the [math] values, and enter it below.
Note: If there are no horizontal asymptotes, enter -1000.
Average of horizontal asymptotes =

(J) Find all vertical asymptotes of [math] , compute the
average of the [math] values, and enter it below.
Note: If there are no vertical asymptotes, enter -1000.
Average of vertical asymptotes =

(K) Use all of the preceding information to sketch a
graph of [math] . When you're finished, enter a "1" in the box
below.
Graph Complete: