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PlotRange
PlotRange is an option for graphics functions that specifies what points to include in a plot.
PlotRange can be used for both two- and three-dimensional graphics.
The following settings can be used:
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.
A setting of the form 
min
,
Automatic
 specifies a particular minimum value for a coordinate, and a maximum value to be determined automatically.
FullOptions gives the explicit form of PlotRange specifications when Automatic settings are given.
See the Mathematica book: Section 1.9.3, Section 1.9.3.
See also: PlotRegion, AspectRatio, FullOptions.
Further Examples
In the second plot the bottom of the curve is cut off.
Evaluate the cells to compare the graphics.
In[1]:= 
In[2]:= 
You can clip the viewing box of a ParametricPlot3D graphic.
Evaluate the cells to compare the graphics.
In[3]:= 
In[4]:= 
Without the option PlotRange->All, the plot is displayed in a restricted range of points.
Evaluate the cells to compare the graphics.
In[5]:= 
In[6]:= 
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