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Section 9.5 Assigning Piecewise Functions
A piecewise-defined function is a function defined by multiple sub-functions. Each sub-function applies to a certain interval of the domain, called a sub-domain. We can define piecewise functions in Maple by using the
piecewise() command. The sub-domain of each sub-function is specified before its expression.
> P(x) := piecewise(x <= -1, x^2, -1 < x <= 1, -x, 1 < x, x-4);
\begin{equation*}
\displaystyle P\, := \,x\mapsto \begin{cases}{x}^{2}\amp x\leq -1 \\ -x\amp -1\lt x\leq 1 \\ x-4\amp 1\lt x \end{cases}
\end{equation*}
\begin{equation*}
\displaystyle \begin{cases}{x}^{2}\amp x\leq -1 \\ -x\amp -1 \lt x\leq 1 \\ x-4\amp 1\lt x \end{cases}
\end{equation*}
