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 ${\displaystyle \{}$ symbol.^[1] For example, there might be a function which gives ${\displaystyle 2x}$ when ${\displaystyle x>0}$, and ${\displaystyle x-1}$ when ${\displaystyle x\leq 0}$.

The absolute value function, floor function and step function are some common functions which are usually defined piecewise.^[2][3]

Related pages

• Hyperoperation—an example of piecewise function