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It may or may not be a continuous function.
Definition of piecewise function in math. A piecewise function is a function made up of different parts. A common example is the absolute value x x for x 0. Solved example on piecewise function. Piecewise function is a function f x defined piecewise that is f x is given by different expressions on various intervals.
The graph below shows the piecewise function f x x if x 0. More specifically it s a function defined over two or more intervals rather than with one simple equation over the domain. A piecewise defined function is one which is defined not by a single equation but by two or more. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
We use piecewise functions to describe situations in which a rule or relationship changes as the input value crosses certain boundaries. 1 piecewise functions are implemented in the wolfram language as piecewise val1 cond1 val2 cond2. A piecewise function is a function that is defined on a sequence of intervals. Each equation is valid for some interval.
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