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Math Help - Finding domain and Range

  1. #1
    Member M670's Avatar
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    Finding domain and Range

    I don't know for some reason this question is confusing me and I can't find an example similar in my text book
    domain and range of :
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    Re: Finding domain and Range

    Quote Originally Posted by M670 View Post
    I don't know for some reason this question is confusing me and I can't find an example similar in my text book
    domain and range of :
    The range is (-6,\infty). What is the domain?
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    Re: Finding domain and Range

    You should be familiar w/ the graph of the parent function y = \frac{1}{x^2}. Its domain is the same as for f(x).

    ... what transformation has occurred to the parent function by subtracting 6 ? How does this affect the range?
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    Member M670's Avatar
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    Re: Finding domain and Range

    The domain should be all real number except where the denominator is zero
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    Re: Finding domain and Range

    Quote Originally Posted by M670 View Post
    The domain should be all real number except where the denominator is zero
    Correct!
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  6. #6
    Member M670's Avatar
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    Re: Finding domain and Range

    Quote Originally Posted by skeeter View Post
    You should be familiar w/ the graph of the parent function y = \frac{1}{x^2}. Its domain is the same as for f(x).

    ... what transformation has occurred to the parent function by subtracting 6 ? How does this affect the range?
    I believe by subtracting 6 we are getting a negative y value
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    Member M670's Avatar
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    Re: Finding domain and Range

    To represent the domain in interval notation it would be (-infinity,0) U (0, infinity)
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    Re: Finding domain and Range

    Quote Originally Posted by Plato View Post
    The range is (-6,\infty). What is the domain?
    Could you give me the steps you used to find the range
    I know its the max point on the Y axis where x can effect it, so this would mean that my graph would not go past -6on the y
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    Re: Finding domain and Range

    Quote Originally Posted by M670 View Post
    Could you give me the steps you used to find the range
    I know its the max point on the Y axis where x can effect it, so this would mean that my graph would not go past -6on the y
    The range of \frac{1}{x^2} is (0,\infty).

    The range of \frac{1}{x^2}-6 is (-6,\infty).
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  10. #10
    Member M670's Avatar
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    Re: Finding domain and Range

    ahh I see said the blind man
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