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: