Graphing piecewise features includes 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 features 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 price is totally different relying on the load of the package deal. Piecewise features may also be used to mannequin features which are outlined over totally different domains, such because the perform that provides the realm of a circle, which is outlined over the area of all constructive numbers.