Respuesta :
-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
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
Answer:
For the domain and range, Period, and Two Vertical Asymptotes is stated below
Step-by-step explanation:
For the function f(x) = - 2 cot 3x.
lets state the following as follows,
y = -2[cos(3x)/sin(3x)]
For the Domain
All Real Numbers except with sin(3x)=0,
All Real Numbers except x = 0 or pi/3
For the Range=All Real Numbers
For the given Period = (2pi/3) = (2/3)pi
For Two Vertical Asymptotes:: x = 0 and x = pi/3