Suppose that
f(x) = 3 x^3 + 6 x.

(A) Find all critical values off .
If there are no critical values, enter -1000.
If there are more than one, enter them separated by commas.

Critical value(s) =

(A) Find all critical values of

Critical value(s) =

(B) Use interval notation to indicate where

** Note: ** When using interval notation in WeBWorK, you use
** I ** for ** -I ** for ** 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

Decreasing:

(D) Find the

Local maxima at

(E) Find the

Local minima at

(F) Use interval notation to indicate where

Concave up:

(G) Use interval notation to indicate where

Concave down:

(H) Find all inflection points of

Inflection point(s) at

(I) Find all horizontal asymptotes of

Horizontal asymptote(s):

(J) Find all vertical asymptotes of

Vertical asymptote(s):

(K) Use all of the preceding information to sketch a
graph of

Graph Complete:

You can earn partial credit on this problem.