# Piecewise

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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 2x when x > 0, and x-1 when x ≤ 0.

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

## 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.