Suppose that
[math]
(A) Find all critical values of [math] .
If there are no critical values, enter -1000.
If there are more than one, enter them separated by commas.
Critical value(s) =

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

Note: When using interval notation in WeBWorK, you use
I for [math] , -I for [math] , and
U for the union symbol. If there are no values that satisfy the
required condition, then enter "{}" without the quotation marks.

Increasing:

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

(D) Find the [math] -coordinates of all local maxima of [math] .
If there are no local maxima, enter -1000.
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 -1000.
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 -1000.
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 -1000.
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 -1000.
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: