Hi. I need to find the intercepts, domain and range, is it a function?, even or odd?, and is it a one-to-one function?

y=cot (x)

-domain: (negative infinity, 0) U (0,infinity)

-range: all real numbers

-x-intercept: none

-y-intercept: none

-is not a function

-It is neither

-It is not one-to-one

Please help me. I am totally confused what to do and I am not sure if my answers are right. Any help would be greatly appreciated.