Piecewise function

In mathematics, a piecewise function is a function that is defined using multiple rules. Each rule specifies the function values for a portion of the domain, and the rules are conjoined together using the [math]\displaystyle{ \{ }[/math] symbol. For example, there might be a function which gives [math]\displaystyle{ 2x }[/math] when [math]\displaystyle{ x\gt 0 }[/math], and [math]\displaystyle{ x-1 }[/math] when [math]\displaystyle{ x\leq0 }[/math].

The absolute value function, floor function and step function are some common functions which are usually defined piecewise.

Piecewise Function Media

• 

  Piecewise linear function gnuplot

• 

  }

Related pages

• Hyperoperation—an example of piecewise function