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Thread: Express a piecewise without the absolute value

  1. #1
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    Express a piecewise without the absolute value

    Express as a piecewise function without absolute value symbols.

    $\displaystyle f(x) = \mid x-2\mid + 3 \mid x\mid $
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  2. #2
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    Quote Originally Posted by onemore View Post
    Express as a piecewise function without absolute value symbols.
    $\displaystyle f(x) = \mid x-2\mid + 3 \mid x\mid $
    There are three pieces
    $\displaystyle \left\{ {\begin{array}{ll}
    {?,} & {2 \leqslant x} \\
    {?,} & {0 \leqslant x < 2} \\
    {?,} & {x < 0} \\

    \end{array} } \right.$
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