Suppose that

(A) Find all critical values of . 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 is increasing.

Note: When using interval notation in WeBWorK, you use I for , -I for , 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 is decreasing.
Decreasing:


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

Local maxima at =


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

Local minima at =


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

(I) Use all of the preceding information to sketch a graph of . When you're finished, enter a 1 in the box below.

Graph Complete:

You can earn partial credit on this problem.