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Math Help - Domain and Range

  1. #1
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    Exclamation Domain and Range

    Please explain the domain and range of a function:

    f(x)= square root 6-2x
    What is the domain and what is the range
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  2. #2
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    Quote Originally Posted by batman123
    Please explain the domain and range of a function:

    f(x)= square root 6-2x
    What is the domain and what is the range
    The domain of a function is the set (in this case of real number) on which the
    function is defined.

    The function:

    <br />
f(x)=\sqrt{6-2x}<br />

    is defined whenever 6-2x \ge 0, which is equivalent to x \le 3. Thus the
    domain of f is the set of all real numbers x \le 3.

    The range of a function is the set (in this case of real numbers)of values
    which can be a value taken by the function for sone x in its domain.

    In this case any y \ge 0 can be written as y=f(x) for
    some x \le 3, so the range of f is the set of all y \ge 0.

    RonL
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  3. #3
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    Quote Originally Posted by batman123
    Please explain the domain and range of a function:

    f(x)= square root 6-2x
    What is the domain and what is the range
    Here I graphed it thus you can see which value's x and y can take:
    Attached Thumbnails Attached Thumbnails Domain and Range-picture8.gif  
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