Absolute value function

A function $f$ is called an absolute value function if

$\displaystyle f(x) = \vert x\vert
= \left\{\begin{array}{cl}
x & \quad\mbox{ if $x \ge 0$; } \\
-x & \quad\mbox{ if $x < 0$. }
\end{array}\right.
$

The absolute value function is an even function, symmetric with respect to the $y$-axis.

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Department of Mathematics
Last modified: 2005-09-29