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Math Help - Y equals more than one problem

  1. #1
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    Y equals more than one problem

    ok here is the problem:

    Y = -2x +1; x less than or equal to 0
    Y also equals: sqrt(x+4) -2; x>0

    i look at the graph i made, and i don't know the domain and range...

    is the range, y is greater than or equal to zero?
    is there a domain?
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  2. #2
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    Quote Originally Posted by zooanimal98 View Post
    ok here is the problem:

    Y = -2x +1; x less than or equal to 0
    Y also equals: sqrt(x+4) -2; x>0

    i look at the graph i made, and i don't know the domain and range...

    is the range, y is greater than or equal to zero?
    is there a domain?
    Well, there are no values of x such that the function does not exist. Thus the domain is all real numbers.

    For the range, notice that there is no upper bound on the function. (As x increases in the negative direction, y increases without bound.) A similar condition is on the +x side. Is there a value of x such that the function has a minimum?

    -Dan
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