Jessica S.

# Solve the questions about the function

Suppose that
f(x)= (3x)/(x^2-49).
A.List all critical numbers of f. If there are no critical numbers, enter 'NONE'.
B.  Use interval notation to indicate where f(x) is decreasing.
C. List the x-values of all local maxima of f . If there are no local maxima, enter 'NONE'.
D. List the x-values of all local minima of f. If there are no local minima, enter 'NONE'.
E.  List the x-values of all inflection points of f . If there are no inflection points, enter 'NONE'.
F.  Use interval notation to indicate where f(x) is concave up.
G. Use interval notation to indicate where f(x) is concave down.
H.List all horizontal asymptotes of f . If there are no horizontal asymptotes, enter 'NONE'.
I. List all vertical asymptotes of f .