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Math Help - Finding Domain and Range

  1. #1
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    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.
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  2. #2
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    Quote Originally Posted by takuto View Post
    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 y = \cot{x} ... maybe you should look at its graph.
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  3. #3
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    Quote Originally Posted by takuto View Post
    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?
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