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Math Help - Interval and Range

  1. #1
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    Interval and Range

    Hello,

    I was wondering,

    1.how do we find the range of a function w/o a calculator?
    2. how do we know if its this bracket () or this bracket []? what will determine it.

    Thanks
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  2. #2
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    Quote Originally Posted by l flipboi l View Post

    1.how do we find the range of a function w/o a calculator?


    Thanks
    This is done by knowing the shape and nature of the function in question. Also knowing the domain will be helpful. Do you have an example of a function you require the range for?


    Quote Originally Posted by l flipboi l View Post

    2. how do we know if its this bracket () or this bracket []? what will determine it.

    Thanks
    example

    (0,5) means all numbers between 0 and 5 but not including 0 and 5.

    [0,5] means all numbers between 0 and 5 including 0 and 5.
    Last edited by pickslides; February 1st 2010 at 02:59 PM. Reason: *sp
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  3. #3
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    Yeah, I was trying to work out this problem g(x) = sqrt(16-x^4)...i found the domain to be x=+-2

    but I could not figure out the range...

    also, how would I know which bracket to use? in this case, since x cannot be -2 or +2 should I use () meaning not to include -2 or +2?
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  4. #4
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    Quote Originally Posted by l flipboi l View Post
    Yeah, I was trying to work out this problem g(x) = sqrt(16-x^4)...i found the domain to be x=+-2
    This is not completely correct, you need to solve

     16-x^4\geq 0

    which gives you -2\leq x \leq 2 this can be written as [-2,2] as both -2 and 2 will return a value for g(x)
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