Question

PLEASE HURRY THANK YOU

Analyze the function f(x) = - 2 cot 3x. Include:
- Domain and range
- Period
- Two Vertical Asymptotes

Answer 1

Domain
All Real Numbers except with sin(3x)=0, i.e.,
All Real Numbers except x = 0 or pi/3 etc


Range::: All Real Numbers

- Period = (2pi/3) = (2/3)pi
-
- Two Vertical Asymptotes:: x = 0 and x = pi/3

Answer 2

Domain is all real numbers except npi/3 for all integers, n.
Range is all real numbers.
Period is pi/3.
Two vertical asymptotes are x = pi/3 and x = 2pi/3.