Thread: Express a piecewise without the absolute value

1. Express a piecewise without the absolute value

Express as a piecewise function without absolute value symbols.

$f(x) = \mid x-2\mid + 3 \mid x\mid$

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

\end{array} } \right.$