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

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

References

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

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[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.

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