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

(A) Find all critical values of

Critical value(s) =

(B) Use interval notation (not things like DNE) to indicate where

Increasing on

(C) Use interval notation to indicate where

Decreasing on

(D) Find the

Local maxima at

(E) Find the

Local minima at

(F) Use interval notation to indicate where

Concave up on

(G) Use interval notation to indicate where

Concave down on

(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.