Answer and Explanation :
Given : Function
To find :
1) Domain and range
3) Two Vertical Asymptotes
1) Domain is defined as the set of possible values of x where function is defined.
The value of x is define as
The domain of the function is all real numbers except
The range is defined as all the y values for every x.
So, The range of the function is all real numbers.
2) The general form of the cot function is
Where, Period is
On comparing, B=3
So, The period of the given function is
3) Vertical asymptote is defined as the line which approaches to infinity but never touches the line.
The vertical asymptote is at where function is not defined.
The two vertical asymptote is
So, The two vertical asymptote are