Piecewise Function

Typesetting

In LaTeX, we can typeset piecewise functions by using the cases environment:

f⁢(x)={0x≤0100−x1000≤x≤1000100≤x𝑓𝑥cases0𝑥0100𝑥1000𝑥1000100𝑥f(x)=\begin{cases}0&x\leq 0\\ \frac{100-x}{100}&0\leq x\leq 100\\ 0&100\leq x\end{cases}