Analyze the function f (x) = - 2 cot 3x. Include:

- Domain and range

- Period

- Two Vertical Asymptotes

-Domain of the function is:

for all X : X belongs to real numbers. where, 3x > pi x n & 3x < pi (n+1)

- Range of the function is:

All real numbers.

-Period of the function is:

pi/3

- The vertical asymtotes are:

-2 pi/3 and - pi/3