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. 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.

Related pages

• Hyperoperation—an example of piecewise function

References

1. ↑ "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-24.
2. ↑ "Piecewise Functions". www.mathsisfun.com. Retrieved 2020-08-24.
3. ↑ Weisstein, Eric W. "Piecewise Function". mathworld.wolfram.com. Retrieved 2020-08-24.

This short article about mathematics can be made longer. You can help Wikipedia by adding to it.