Suppose that $$f(x) = \frac{3 x}{x^2 - 25}.$$

(A) List all critical numbers of $f$. If there are no critical numbers, enter 'NONE'.
Critical numbers =

(B) Use interval notation to indicate where $f(x)$ is decreasing.
Note: Use 'INF' for $\infty$, '-INF' for $-\infty$, and use 'U' for the union symbol.
Decreasing:

(C)List the $x$-values of all local maxima of $f$. If there are no local maxima, enter 'NONE'.
$x$ values of local maxima =

(D) List the $x$-values of all local minima of $f$. If there are no local minima, enter 'NONE'.
$x$ values of local minima =

(E) List the $x$ values of all inflection points of $f$. If there are no inflection points, enter 'NONE'.
Inflection points =

(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) List all horizontal asymptotes of $f$. If there are no horizontal asymptotes, enter 'NONE'.
Horizontal asymptotes $y =$

(I) List all vertical asymptotes of $f$.
If there are no vertical asymptotes, enter 'NONE'.
vertical asymptotes $x =$

(J) 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: