# PlotRange

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

# Details   • 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 {{xmin,xmax},{ymin,ymax}} explicit limits for x and y {{xmin,xmax},{ymin,ymax},{zmin,zmax}} 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,xmin,xmax},PlotRange->Full] specifies that the full range {xmin,xmax} 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}} {Full,{0,s}} {{-s,s},{-s,s}} {Full,Full,{-s,s}} {Full,Full,{-s,s}} ArrayPlot {Full,Full,{0,s}} SpectrogramandCepstrogram {Full,{0,s},Full} {Full,Full,{-s,s}} ListSurfacePlot3D {{-s,s},{-s,s},{-s,s}} {{-s,s},{-s,s},{-s,s}} {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.

# Examples

open allclose all

## Basic Examples(3)

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:

## Scope(8)

Normally, plot functions drop outlying points, which is equivalent to :

shows all of the points:

PlotRange for Graphics and Graphics3D is All, by default:

Drop outlying points, by setting :

Use to include all points:

Use to include all the points and the original domain:

An explicit range can be given in each direction by {min,max}:

One value of the explicit range can be a symbol such as All or Automatic:

The interpretation of PlotRange->max depends on the function:

Any valid range specification can be given to each direction:

## Applications(1)

Plot the CDF of the normal distribution with , :

## Properties & Relations(7)

Use ClippingStyle to style the region clipped by PlotRange:

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

Use 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:

Include 1 coordinate unit of padding on all sides:

Scaled coordinates are given by fractions of the plot range:

## Neat Examples(3)

An elementary function with pole singularities:

A function with a curve singularity:

A function with random poles:

Introduced in 1988
(1.0)
|
Updated in 2007
(6.0)
2017
(11.2)