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Specify a range of coordinates to plot—Wolfram Documentation

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• See Also
  • RegionFunction
  • PlotRegion
  • AspectRatio
  • AbsoluteOptions
  • Scaled
  • Rescale
  • PlotRangeClipping
  • PlotRangePadding
  • ViewRange
  • ClippingStyle
  • ImageSize
  • DataRange
  • DeleteAnomalies
• Related Guides
  • Plotting Options
  • Plotting and Image Regions
  • Graphics Coordinates
  • Graphics Options & Styling
  • Options & Styling for Interactive Manipulation
• Tech Notes
  • Options for Graphics
  • The Structure of Graphics
  • Graphics and Sound

PlotRange

is an option for graphics functions that specifies what range of coordinates to include in a plot.

• PlotRange can be used for both two- and three-dimensional graphics.
• The following settings can be used:
• All all points are included Automatic outlying points are dropped Full include full range of original data max explicit limit for each function (see below) {min,max} explicit limits for y (2D), z (3D), or array values {{x_min,x_max},{y_min,y_max}} explicit limits for x and y {{x_min,x_max},{y_min,y_max},{z_min,z_max}} explicit limits for x, y, and z (3D)
• When no explicit limits are given for a particular coordinate, a setting of Automatic is assumed.
• With the Automatic setting, the distribution of coordinate values is found, and any points sufficiently far out in the distribution are dropped. Such points are often produced as a result of singularities in functions being plotted.
• Any explicit limit or pair {min,max} can be replaced by a specification such as All or Automatic.
• A setting such as {min,Automatic} gives a particular minimum value for a coordinate, with a maximum value to be determined automatically.
• If a particular minimum or maximum is specified as {Automatic,α}, this means that the range should in effect be cut off beyond a fraction α of points in the plot. When smooth curves or surfaces are plotted, the measure of points is based on projected length or area.
• The setting Full can be used in Plot and related functions to specify that a range determined by the original input to the plotting function should be used. »
• Plot[f,{x,x_min,x_max},PlotRange->Full] specifies that the full range {x_min,x_max} should be used, even if no actual values of f are plotted in part of that range.
• With the setting PlotRange->s, the following ranges are used: »
• Graphics {{-s,s},{-s,s}} Graphics3D {{-s,s},{-s,s},{-s,s}} Plot {Full,{-s,s}} ListPlot and ListLinePlot {Full,{0,s}} ParametricPlot and RegionPlot {{-s,s},{-s,s}} ContourPlot and ListContourPlot {Full,Full,{-s,s}} DensityPlot and ListDensityPlot {Full,Full,{-s,s}} ArrayPlot {Full,Full,{0,s}} SpectrogramandCepstrogram {Full,{0,s},Full} Plot3D and ListPlot3D {Full,Full,{-s,s}} ListSurfacePlot3D {{-s,s},{-s,s},{-s,s}} ParametricPlot3D and RegionPlot3D {{-s,s},{-s,s},{-s,s}} ContourPlot3D and ListContourPlot3D {Full,Full,Full,{-s,s}}
• AbsoluteOptions gives the explicit form of PlotRange specifications when Automatic settings are given.
• The final absolute range of coordinates to include in a plot is determined by PlotRangePadding as well as PlotRange itself.

Automatically drop outlying points:

Explicitly choose and ranges:

Explicitly choose a range:

Choose the range to show all the existing points:

Use the full , range:

Plot the CDF of the normal distribution with , :

Use ClippingStyle to style the region clipped by PlotRange:

In ordinary graphics, objects can extend beyond the plot range:

Use PlotRangeClipping->True to clip objects to the range:

Normally, plot functions clip objects to the range:

By default, 2% of padding is added to the plot range in each direction:

Prevent padding by setting PlotRangePadding to None:

Include 1 coordinate unit of padding on all sides:

No padding is added if the plot range is explicit:

Scaled coordinates are given by fractions of the plot range:

An elementary function with pole singularities:

A function with a curve singularity:

A function with random poles:

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