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Function Visualization
Long the standard for high-quality function and surface visualization, Mathematica 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
    
DensityPlot — density plot for a function
    
ParametricPlot — 2D parametric curves or regions
ParametricPlot3D — 3D parametric curves or surfaces
PolarPlot  ▪ RevolutionPlot3D  ▪ SphericalPlot3D
    
RegionPlot — 2D regions defined by inequalities
RegionPlot3D — 3D regions defined by inequalities
    
Vector Visualization »
StreamPlot  ▪ StreamDensityPlot  ▪ VectorPlot  ▪ VectorPlot3D  ▪ ...
    
Discrete Function Visualization »
DiscretePlot — plot functions of a discrete variable
DiscretePlot3D — plot functions in 3D
ListPlot  ▪ ListLinePlot  ▪ ArrayPlot  ▪ ...
    
Styling Options »
Frame  ▪ PlotStyle  ▪ Filling  ▪ Mesh  ▪ ImageSize  ▪ ...
Annotation & Combination »
Tooltip  ▪ StatusArea  ▪ GraphicsGrid  ▪ ...
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