Graphing piecewise features 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 features are sometimes used to mannequin conditions the place the connection between the impartial and dependent variables modifications at particular factors. For instance, a piecewise perform may very well be used to mannequin the price of delivery a bundle, the place the associated fee is totally different relying on the load of the bundle. Piecewise features may also be used to mannequin features which can be outlined over totally different domains, such because the perform that provides the world of a circle, which is outlined over the area of all optimistic numbers.
