Graphing piecewise capabilities entails breaking the perform into totally different items, every with its personal equation. These items are outlined over totally different intervals of the impartial variable, and the graph of the perform is the union of the graphs of the person items.
Piecewise capabilities are sometimes used to mannequin conditions the place the connection between the impartial and dependent variables adjustments at particular factors. For instance, a piecewise perform could possibly be used to mannequin the price of delivery a package deal, the place the fee is totally different relying on the burden of the package deal. Piecewise capabilities may also be used to mannequin capabilities which can be outlined over totally different domains, such because the perform that provides the realm of a circle, which is outlined over the area of all optimistic numbers.
