Suppose that
f(x) = 3 x^6 - 5 x^5.

(A) Find all critical values off , compute their
average, and enter it below.

Note: If there are no critical values, enter -1000.

Average of critical values =

(A) Find all critical values of

Note: If there are no critical values, enter -1000.

Average of critical values =

(B) Use interval notation to indicate where

** Note: ** Enter 'I' for

If you have extra boxes, fill each in with an 'x'.

Increasing:

(C) Use interval notation to indicate where

Decreasing:

(D) Find the

Note: If there are no local maxima, enter -1000.

Average of

(E) Find the

Note: If there are no local minima, enter -1000.

Average of

(F) Use interval notation to indicate where

Concave up:

(G) Use interval notation to indicate where

Concave down:

(H) Find all inflection points of

Note: If there are no inflection points, enter -1000.

Average of inflection points =

(I) Find all horizontal asymptotes of

Note: If there are no horizontal asymptotes, enter -1000.

Average of horizontal asymptotes =

(J) Find all vertical asymptotes of

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

Graph Complete:

You can earn partial credit on this problem.