Graphing piecewise features entails breaking the operate into completely different items, every with its personal equation. These items are outlined over completely different intervals of the unbiased variable, and the graph of the operate is the union of the graphs of the person items.
Piecewise features are sometimes used to mannequin conditions the place the connection between the unbiased and dependent variables modifications at particular factors. For instance, a piecewise operate might be used to mannequin the price of transport a bundle, the place the associated fee is completely different relying on the burden of the bundle. Piecewise features may also be used to mannequin features which might be outlined over completely different domains, such because the operate that offers the realm of a circle, which is outlined over the area of all optimistic numbers.
