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 [math]\displaystyle{ \{ }[/math] 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]
Piecewise Media
Piecewise linear function gnuplot
}
Illustration of an upper one-sided limit.
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.