# Thread: Finding Domain and Range

1. ## Finding Domain and Range

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.

2. Originally Posted by takuto
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.
it is rather obvious by your "solutions" that you are not familiar with the basic graph of $\displaystyle y = \cot{x}$ ... maybe you should look at its graph.

3. Originally Posted by takuto
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.
cot(x)=cos(x)/sin(x)

Knowing that, try again. The graph is periodic, meaning it repeats the same shape over and over again. So if you are looking at all x-values, you have to come up with general statements about the undefined values and intercepts.

Make sense at all?