grandes-ecoles 2011 QIV.A

grandes-ecoles · France · centrale-maths1__psi Curve Sketching Sketching a Curve from Analytical Properties
The function $h$ is defined on $\mathbb{R}$ by $$h : \mathbb{R} \longrightarrow \mathbb{R}, \quad u \longmapsto u - [u] - 1/2$$ where $[u]$ denotes the integer part of $u$.
Carefully draw the graph of the application $h$ on the interval $[-1, 1]$.
The function $h$ is defined on $\mathbb{R}$ by
$$h : \mathbb{R} \longrightarrow \mathbb{R}, \quad u \longmapsto u - [u] - 1/2$$
where $[u]$ denotes the integer part of $u$.

Carefully draw the graph of the application $h$ on the interval $[-1, 1]$.