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