Piecewise Linear Function

A piecewise linear function is a function that consists of linear segments with different slopes and breakpoints. Learn how to use piecewise linear functions to model and solve problems in optimization with a transportation example.

Learn how to formulate and solve optimization problems with piecewise-linear functions, such as l1- and l-norm approximations, robust curve fitting, sparse signal recovery, and linear classification. See examples, equivalences, and software tools for piecewise-linear optimization.

Learn how to create and graph functions that behave differently based on the input value. See examples of piecewise functions, such as absolute value, floor, and doctor's fee.

We have already encountered piecewise-defined functions, which are functions that use different equations over different quotpiecesquot of their domains. We have also already encountered linear function models.Now, it's time to meld these two concepts together. Let's take a look at what we need to know about using piecewise functions to model mathematical situations.

A piecewise linear function is a function composed of some number of linear segments defined over an equal number of intervals. Learn how to approximate, integrate, and derive piecewise linear functions with Wolfram MathWorld.

Learn what piecewise functions are and how to evaluate, graph, and interpret them. See examples of piecewise functions in real-life situations and how to use them in calculus.

Learn how to define, evaluate, and graph piecewise linear functions, which are collections of discrete pieces that describe situations with changing rules or relationships. See examples of piecewise linear functions in real-world applications such as tax rates, data transfer costs, and museum tours.

A piecewise linear function is a real-valued function of a real variable, whose graph is composed of straight-line segments. Learn the definition, examples, applications, and related topics of this type of function.

Piecewise linear functions may be used to model scenarios where a single linear function is inadequate to express changes in the rate of change. Piecewise functions may be expressed with tables, with graphs, and with equations that specify given intervals.

A piecewise linear function is a piecewise function in which all pieces correspond to straight lines. For example, the absolute value function, step function floor function or greatest integer function, ceiling function, etc are examples of piecewise linear functions.