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Math Help - Piecewise Function confusion

  1. #1
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    Piecewise Function confusion

    I'm confused about this problem in my precalc class. I already know what the answer is, but I don't understand why with the equation: f(x)=\left\{\begin{array}{cc}x+3 \ \mbox{if} \ x < -2\\x-3\mbox{ if } x\geq-2\end{array}

    the answer says that -2 is included in the domain (-\infty,-2] if x<-2, but -2 is not included in the domain (-2,\infty) if  x\geq-2, shouldn't it be the other way around?
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  2. #2
    Member alexgeek's Avatar
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    Seems like a typo to me.
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  3. #3
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    I don't know, I hope it's just me. Basically the dot on the the line at the coordinates (-2,1) has a closed circle, and the dot on the line at (-5,-2) has an open circle. I'd make a graph of it, but I'm not sure how to do that on this forum. I just thought it would be an open circle at (-2,1) and an closed circle at (-2,-5) with a range of (-\infty,\infty).
    Last edited by Latvija13; September 14th 2010 at 02:39 PM. Reason: typo
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