In the following table, two lists (abscissa of the nodes and the expressions between and outside the breakpoints), the piecewise function 𝑓(𝑥) is given. Construct a piecewise function of two ...

A piecewise function is defined by multiple sub-functions, each applicable over a specific interval of the domain. These intervals are often called "pieces" of the function's domain. Each piece ...

A piecewise relation, at its core, is a relation that is defined by multiple sub-relations, each applying to a certain interval of the domain. These sub-relations are essentially different equations ...

In this paper, we propose a method for finding the best piecewise linearization of nonlinear functions. For this aim, we try to obtain the best approximation of a nonlinear function as a piecewise ...

This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...