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Math Help - Domain of the relation

  1. #1
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    Domain of the relation

    My problem states:

    Determine the domain of the relation, and determine whether the relation describes y as a function of x:

    y=|x|
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  2. #2
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    Re: Domain of the relation

    Quote Originally Posted by Kibbygirl View Post
    My problem states: Determine the domain of the relation, and determine whether the relation describes y as a function of x: y=|x|
    A relation is a set of ordered pairs.
    In this case: \{(x,|x|)\}.
    The domain is the set of first terms. What is this set of values?

    If no two pairs can have the same first term then the relation is a function on the domain.
    Is this relation a function?
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  3. #3
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    Re: Domain of the relation

    Would the domain just be x then? I'm not understanding what the domain would be when it is just listing a variable - though does the bars mean "absolute"?
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    Re: Domain of the relation

    Quote Originally Posted by Kibbygirl View Post
    Would the domain just be x then? I'm not understanding what the domain would be when it is just listing a variable - though does the bars mean "absolute"?
    1. As Plato pointed out the domain is a set. Since there aren't any restrictions we can assume that x has real values. Therefore the domain is the set of all real numbers: \mathbb{R}

    2. abs(a) = |a|
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