• \(f\left({x}\right)=\left\{\begin{array}{l}0,& - \pi < x <0,\\1,& 0 < x <\pi\end{array} \right.\)

• \(f\left( x \right) = x + 1,\;\;\;{\kern 1pt} x \in \left[ { - \pi ;\pi } \right]\)

• \(f\left( x \right) = {x^2},\;\;\;{\kern 1pt} {\kern 1pt} x \in \left[ { - \pi ;\pi } \right]\)

• \(f\left({x}\right)=\left\{\begin{array}{l}0,& - \pi < x <0,\\\sin{x},& 0 < x <\pi\end{array} \right.\)

• \(f\left({x}\right)=\left\{\begin{array}{l}x,& -2 < x <0,\\\pi - x,& 0 < x <2\end{array} \right.,\quad L=2\)

• \(f\left({x}\right)=1\)