Suppose that [math]

(A) Find all critical values of [math]. If there are no critical values, enter None. If there are more than one, enter them separated by commas.
Critical value(s) =

(B) Use interval notation to indicate where [math] is increasing. If it is increasing on more than one interval, enter the union of all intervals where [math] is increasing.
Increasing:

(C) Use interval notation to indicate where [math] is decreasing. If it is decreasing on more than one interval, enter the union of all intervals where [math] is decreasing.
Decreasing:

(D) Find the [math]-coordinates of all local maxima of [math]. If there are no local maxima, enter None. If there are more than one, enter them separated by commas.
Local maxima at [math] =

(E) Find the [math]-coordinates of all local minima of [math]. If there are no local minima, enter None. If there are more than one, enter them separated by commas.
Local minima at [math] =

(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]. If there are no inflection points, enter None. If there are more than one, enter them separated by commas.
Inflection point(s) at [math] =

(I) Find all horizontal asymptotes of [math]. If there are no horizontal asymptotes, enter None. If there are more than one, enter them separated by commas.
Horizontal asymptote(s): [math] =

(J) Find all vertical asymptotes of [math]. If there are no vertical asymptotes, enter None. If there are more than one, enter them separated by commas.
Vertical asymptote(s): [math] =

(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: