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Math Help - Express an absolue value function as a piecewise function

  1. #1
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    Express an absolue value function as a piecewise function

    Express  f(x)= \mid x+1 \mid + \mid x-1 \mid as a piecewise function without absolute value symbols.


    I know how to do one and u end up with two parts to the piecewise function. Am I going to get 4 parts of the piecewise function since there are two absolute values?
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  2. #2
    MHF Contributor Unknown008's Avatar
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    In fact, you'll get 3 parts of the piece wise function.

    You'll get, from left to right:
    a line with a negative slope
    a straight horizontal line
    a line with a positive slope

    for your function.
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  3. #3
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    and the critical numbers are 1 and -1 right?
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  4. #4
    MHF Contributor Unknown008's Avatar
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    Yes, we can say it like that. I don't quite know the technical terms
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