=for timestamp
Mo Okt  4 16:52:40 CEST 2004

=head3 8. Hausaufgabe

=head4 Selbstgestellte Aufgabe

M<<
{} \begin{array}{rcl}
{}   f\left(x\right) & = & \left|x\right| - \left|x-1\right| + \left|x-2\right| = \\
{}   & = & \begin{cases}
{}     -x + x-1 - x+2 = -x + 1 & \text{f"ur } x \leq 0; \\
{}     +x + x-1 - x+2 =  x + 1 & \text{f"ur } 0 < x \leq 1; \\
{}     +x - x+1 - x+2 = -x + 3 & \text{f"ur } 1 < x \leq 2; \\
{}     +x - x+1 + x-2 =  x - 1 & \text{f"ur } x > 2;
{}   \end{cases}
{} \end{array}
>>

=helper MyBook::Helper::Gnuplot

f(x) = abs(x) - abs(x-1) + abs(x-2)

set grid
set xrange [ -1 : 3 ]
plot f(x)

=hend