Suppose that $$f(x) = 3 x^5 - 5 x^4.$$

(A) Find all critical values of $f$, compute their average, and enter it below.
Note: If there are no critical values, enter -1000.
Average of critical values =

(B) Use interval notation to indicate where $f(x)$ is increasing.

Note: Enter 'I' for $\infty$, '-I' for $-\infty$, and 'U' for the union symbol.
If you have extra boxes, fill each in with an 'x'.
Increasing:

(C) Use interval notation to indicate where $f(x)$ is decreasing.
Decreasing:

(D) Find the $x$-coordinates of all local maxima of $f$, compute their average, and enter it below.
Note: If there are no local maxima, enter -1000.

Average of $x$ values =

(E) Find the $x$-coordinates of all local minima of $f$, compute their average, and enter it below.
Note: If there are no local minima, enter -1000.

Average of $x$ values =

(F) Use interval notation to indicate where $f(x)$ is concave up.
Concave up:

(G) Use interval notation to indicate where $f(x)$ is concave down.
Concave down:

(H) Find all inflection points of $f$, compute their average, and enter it below.
Note: If there are no inflection points, enter -1000.
Average of inflection points =

(I) Find all horizontal asymptotes of $f$, compute the average of the $y$ values, and enter it below.
Note: If there are no horizontal asymptotes, enter -1000.
Average of horizontal asymptotes =

(J) Find all vertical asymptotes of $f$, compute the average of the $x$ values, and enter it below.
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 $f$. When you're finished, enter a "1" in the box below.

Graph Complete: