Definition:Sawtooth Wave/Inverse/Graph

Definition

Let $S$ be the inverse sawtooth wave defined as:

$\forall x \in \R: \map S x = \begin {cases}

-x & : x \in \openint {-\lambda} \lambda \\ \map S {x + 2 \lambda} & : x < -\lambda \\ \map S {x - 2 \lambda} & : x > +\lambda \end {cases}$

The graph of $S$ is given below: