# Absolute Value into Piece-Wise Function

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• Sep 30th 2009, 01:23 AM
SHiFT
Absolute Value into Piece-Wise Function
Hey guys, I'm really confused on how to express an absolute value into a piece-wise function. Such as:

$|x-4|$
• Sep 30th 2009, 02:20 AM
red_dog
$|x-4|=\left\{\begin{array}{ll}x-4, & x-4\geq 0\\-x+4, & x-4<0\end{array}\right.=\left\{\begin{array}{ll}x-4, & x\geq 4\\-x+4, & x<4\end{array}\right.$
• Sep 30th 2009, 11:35 AM
SHiFT
Ok awesome thanks a lot I always get confused by the negative row.