is an option for plotting functions that specifies the region to include in the plot drawn.
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:
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Plot x , yParametricPlot x, y, u or x, y, u, vContourPlot and ListContourPlot x, y, fDensityPlot and ListDensityPlot x, y, fContourPlot3D and ListContourPlot3D x, y, z, fPlot3D , ListPlot3D , and ListSurfacePlot3D x, y, zParametricPlot3D 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:
Related Guides
History
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.html
BibTeX
@misc{reference.wolfram_2025_regionfunction, author="Wolfram Research", title="{RegionFunction}", year="2007", howpublished="\url{https://reference.wolfram.com/language/ref/RegionFunction.html}", note=[Accessed: 05-December-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: 05-December-2025]}