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Math Help - domain and range-test in two weeks yr 11

  1. #1
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    Exclamation domain and range-test in two weeks yr 11

    how do you find the domain and range of a hyperbola, parabola, linear, circular,exponantial and semicircle graph??????
    any help appreacited.
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  2. #2
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    Hello,

    Quote Originally Posted by fareezuh View Post
    how do you find the domain and range of a hyperbola, parabola, linear, circular,exponantial and semicircle graph??????
    any help appreacited.
    Do you have examples ?
    In general, how to find the domain of a function ?
    - not defined at points which annulate a denominator
    - not defined at points which make a number under a square root negative

    .. I don't see any other for the moment at your level...

    In order to find the range, the best to do is to graph the function...

    It'd be easier to show you methods in examples since these methods highly depend on the function...
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  3. #3
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    examples

    absolute value graphs-
    find :
    domain and range
    if y(x)

    parabola -domain&range
    if y=xsquared-4

    hyperbola xy=1
    find domain & range

    cubic curve y=xcubed

    i understand that domain is the number of x values that the graph <sketch> will cover but what is the range and how do you find out
    thanks
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  4. #4
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    i understand that domain is the number of x values that the graph <sketch> will cover but what is the range and how do you find out
    The range is sort of the domain, but for y.


    I found a method :

    y(x)=x^2-4

    -> x=\pm \sqrt{y+4}

    Which is defined if y+4 \geq 0, this will give the range :-)
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  5. #5
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    yes i lack mathamtical intelect

    do cubics have a domain and range
    ???????
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  6. #6
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    Quote Originally Posted by fareezuh View Post
    do cubics have a domain and range
    ???????
    For x^3 the domain and the range are both all real numbers

    You can find domain and range by referring to a reference function, such as square root, x, 1/x etc...
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