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RegionFunction—Wolfram Language Documentation

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BUILT-IN SYMBOL

RegionFunction

is an option for plotting functions that specifies the region to include in the plot drawn.

Details

The setting RegionFunction->r specifies that a point should be included in the region when r[args] yields True.
The arguments supplied to r are as follows:
Plot x , y ParametricPlot x, y, u or x, y, u, v ContourPlot and ListContourPlot x, y, f DensityPlot and ListDensityPlot x, y, f ContourPlot3D and ListContourPlot3D x, y, z, f Plot3D, ListPlot3D, and ListSurfacePlot3D x, y, z ParametricPlot3D x, y, z, u or x, y, z, u, v
Adaptive refinement is typically used to determine the boundaries of the region specified by RegionFunction.
The boundary of regions defined by RegionFunction is drawn with a style specified by the setting for BoundaryStyle.

Examples Basic Examples (2)

Plot over an annulus region:

Region cuts in the radial direction:

Wolfram Research (2007), RegionFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionFunction.html. Text Wolfram Research (2007), RegionFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionFunction.html.CMS Wolfram Language. 2007. "RegionFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionFunction.html.APA Wolfram Language. (2007). RegionFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionFunction.htmlBibTeX @misc{reference.wolfram_2025_regionfunction, author="Wolfram Research", title="{RegionFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/RegionFunction.html}", note=[Accessed: 12-July-2025 ]}BibLaTeX @online{reference.wolfram_2025_regionfunction, organization={Wolfram Research}, title={RegionFunction}, year={2007}, url={https://reference.wolfram.com/language/ref/RegionFunction.html}, note=[Accessed: 12-July-2025 ]}

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