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Wolfram Language & System Documentation Center
Function Visualization
  • Functions
    • AbsArgPlot
    • ArrayPlot
    • BarLegend
    • Callout
    • ComplexPlot
    • ComplexPlot3D
    • ContourPlot
    • ContourPlot3D
    • DensityPlot
    • DensityPlot3D
    • DiscretePlot
    • DiscretePlot3D
    • Filling
    • Frame
    • GraphicsGrid
    • ImageSize
    • Labeled
    • LineLegend
    • ListLinePlot
    • ListPlot
    • LogLinearPlot
    • LogLogPlot
    • LogPlot
    • Mesh
    • NumberLinePlot
    • ParametricPlot
    • ParametricPlot3D
    • Plot
    • Plot3D
    • PlotLabels
    • PlotLegends
    • PlotStyle
    • PolarPlot
    • RegionPlot
    • RegionPlot3D
    • ReImPlot
    • RevolutionPlot3D
    • SliceContourPlot3D
    • SliceDensityPlot3D
    • SliceVectorPlot3D
    • SphericalPlot3D
    • StatusArea
    • StreamPlot
    • StreamPlot3D
    • Tooltip
    • VectorPlot
    • VectorPlot3D
  • Related Guides
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    • 3D Printing
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  • Tech Notes
    • Basic Plotting
    • Density and Contour Plots
    • Options for Graphics
    • Graphics and Sound
    • Functions
      • AbsArgPlot
      • ArrayPlot
      • BarLegend
      • Callout
      • ComplexPlot
      • ComplexPlot3D
      • ContourPlot
      • ContourPlot3D
      • DensityPlot
      • DensityPlot3D
      • DiscretePlot
      • DiscretePlot3D
      • Filling
      • Frame
      • GraphicsGrid
      • ImageSize
      • Labeled
      • LineLegend
      • ListLinePlot
      • ListPlot
      • LogLinearPlot
      • LogLogPlot
      • LogPlot
      • Mesh
      • NumberLinePlot
      • ParametricPlot
      • ParametricPlot3D
      • Plot
      • Plot3D
      • PlotLabels
      • PlotLegends
      • PlotStyle
      • PolarPlot
      • RegionPlot
      • RegionPlot3D
      • ReImPlot
      • RevolutionPlot3D
      • SliceContourPlot3D
      • SliceDensityPlot3D
      • SliceVectorPlot3D
      • SphericalPlot3D
      • StatusArea
      • StreamPlot
      • StreamPlot3D
      • Tooltip
      • VectorPlot
      • VectorPlot3D
    • Related Guides
      • Graphics Options & Styling
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      • Geometric Regions
      • Functions of Complex Variables
      • 3D Printing
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    • Tech Notes
      • Basic Plotting
      • Density and Contour Plots
      • Options for Graphics
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GUIDE
  • Functions
    • AbsArgPlot
    • ArrayPlot
    • BarLegend
    • Callout
    • ComplexPlot
    • ComplexPlot3D
    • ContourPlot
    • ContourPlot3D
    • DensityPlot
    • DensityPlot3D
    • DiscretePlot
    • DiscretePlot3D
    • Filling
    • Frame
    • GraphicsGrid
    • ImageSize
    • Labeled
    • LineLegend
    • ListLinePlot
    • ListPlot
    • LogLinearPlot
    • LogLogPlot
    • LogPlot
    • Mesh
    • NumberLinePlot
    • ParametricPlot
    • ParametricPlot3D
    • Plot
    • Plot3D
    • PlotLabels
    • PlotLegends
    • PlotStyle
    • PolarPlot
    • RegionPlot
    • RegionPlot3D
    • ReImPlot
    • RevolutionPlot3D
    • SliceContourPlot3D
    • SliceDensityPlot3D
    • SliceVectorPlot3D
    • SphericalPlot3D
    • StatusArea
    • StreamPlot
    • StreamPlot3D
    • Tooltip
    • VectorPlot
    • VectorPlot3D
  • Related Guides
    • Graphics Options & Styling
    • Dynamic Visualization
    • Data Visualization
    • Geometric Regions
    • Functions of Complex Variables
    • 3D Printing
    • Sound and Sonification
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  • Tech Notes
    • Basic Plotting
    • Density and Contour Plots
    • Options for Graphics
    • Graphics and Sound
    • Functions
      • AbsArgPlot
      • ArrayPlot
      • BarLegend
      • Callout
      • ComplexPlot
      • ComplexPlot3D
      • ContourPlot
      • ContourPlot3D
      • DensityPlot
      • DensityPlot3D
      • DiscretePlot
      • DiscretePlot3D
      • Filling
      • Frame
      • GraphicsGrid
      • ImageSize
      • Labeled
      • LineLegend
      • ListLinePlot
      • ListPlot
      • LogLinearPlot
      • LogLogPlot
      • LogPlot
      • Mesh
      • NumberLinePlot
      • ParametricPlot
      • ParametricPlot3D
      • Plot
      • Plot3D
      • PlotLabels
      • PlotLegends
      • PlotStyle
      • PolarPlot
      • RegionPlot
      • RegionPlot3D
      • ReImPlot
      • RevolutionPlot3D
      • SliceContourPlot3D
      • SliceDensityPlot3D
      • SliceVectorPlot3D
      • SphericalPlot3D
      • StatusArea
      • StreamPlot
      • StreamPlot3D
      • Tooltip
      • VectorPlot
      • VectorPlot3D
    • Related Guides
      • Graphics Options & Styling
      • Dynamic Visualization
      • Data Visualization
      • Geometric Regions
      • Functions of Complex Variables
      • 3D Printing
      • Sound and Sonification
      • Visualization Gallery
    • Tech Notes
      • Basic Plotting
      • Density and Contour Plots
      • Options for Graphics
      • Graphics and Sound

Function Visualization

Topic Overview

Long the standard for high-quality function and surface visualization, the Wolfram Language incorporates a host of original numeric, symbolic, and geometric algorithms that automate the immediate creation of highly aesthetic and technically correct 2D and 3D visualizations.

Plot — curves of one or more functions

LogPlot  ▪  LogLinearPlot  ▪  LogLogPlot

Plot3D — 3D surfaces of one or more functions

ContourPlot — contour plot for a function or curve

ContourPlot3D — 3D contour plot for a function or surface

SliceContourPlot3D — 2D contours over slice surfaces for a function

DensityPlot — density plot for a function

DensityPlot3D — density plot for a function

SliceDensityPlot3D — density plots over slice surfaces for a function

ParametricPlot — 2D parametric curves or regions

ParametricPlot3D — 3D parametric curves or surfaces

PolarPlot  ▪  RevolutionPlot3D  ▪  SphericalPlot3D

NumberLinePlot — 1D regions defined by equations, inequalities, and intervals

RegionPlot — 2D regions defined by inequalities

RegionPlot3D — 3D regions defined by inequalities

Complex Function Visualization »

ComplexPlot — use color to plot the phase and magnitude of a function

ComplexPlot3D — use color and height to plot the phase and magnitude of a function

ReImPlot  ▪  AbsArgPlot  ▪  ...

Discrete Function Visualization »

DiscretePlot — plot functions of a discrete variable

DiscretePlot3D — plot functions of discrete variables

ListPlot  ▪  ListLinePlot  ▪  ArrayPlot  ▪  ...

Vector Function Visualization »

VectorPlot — plot vectors from a vector field function

StreamPlot — plot streamlines from a vector field function

VectorPlot3D  ▪  StreamPlot3D  ▪  SliceVectorPlot3D  ▪  ...

Styling Options »

Frame  ▪  PlotStyle  ▪  Filling  ▪  Mesh  ▪  ImageSize  ▪  ...

Labels »

PlotLabels  ▪  Labeled  ▪  Callout  ▪  ...

Legends »

PlotLegends  ▪  LineLegend  ▪  BarLegend  ▪  ...

Annotation & Combination »

Tooltip  ▪  StatusArea  ▪  GraphicsGrid  ▪  ...

Related Tech Notes

    ▪
  • Basic Plotting
  • ▪
  • Density and Contour Plots
  • ▪
  • Options for Graphics
  • ▪
  • Graphics and Sound

Related Guides

    ▪
  • Graphics Options & Styling
  • ▪
  • Dynamic Visualization
  • ▪
  • Data Visualization
  • ▪
  • Geometric Regions
  • ▪
  • Functions of Complex Variables
  • ▪
  • 3D Printing
  • ▪
  • Sound and Sonification
  • ▪
  • Visualization Gallery

Related Links

  • Demonstrations related to Function Visualization (Wolfram Demonstrations Project)
  • Wolfram Core Areas: Visualization
  • Wolfram Core Areas: Mathematical Functions
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