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Student[Precalculus]

  

RationalFunctionPlot

  

plot rational functions

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

RationalFunctionPlot(f, opts)

Parameters

f

-

rational function (ratio of polynomials) in at most one variable

opts

-

(optional) equation(s) of the form option = value where option is one functionoptions, showslantasymptotes, showverticalasymptotes, showremovables, slantasymptoteoptions, verticalasymptoteoptions, removableoptions; specify output options

Description

• 

The RationalFunctionPlot(f) command plots a rational function.  If f has any asymptotes, they are also displayed.

• 

The optional parameters opts specify the desired options for the resulting plot.  The available options are:

  

 

  

functionoptions = list

  

Specifies the plot options for f.

  

 

  

showslantasymptotes = true/false

  

Specifies whether or not to show the slant asymptotes of f.

  

 

  

showverticalasymptotes = true/false

  

Specifies whether or not to show the vertical asymptotes of f.

  

 

  

showremovables = true/false

  

Specifies whether or not to show the removable discontinuities of f.

  

 

  

slantasymptoteoptions = list

  

Specifies the plot options for the slant asymptotes (including horizontal) of f.

  

 

  

verticalasymptoteoptions = list

  

Specifies the plot options for the vertical asymptotes for f.

  

 

  

removableoptions = list

  

Specifies the plot options for the removable discontinuities for f.

  

 

  

caption = anything

  

A caption for the plot.

  

The default caption is constructed from the parameters and the command options. caption = "" disables the default caption. For more information about specifying a caption, see plot/typesetting.

  

 

• 

For information on including additional plot option(s), see the plot help page.

• 

For information on how to change the default colors, see the Student [SetColors] help page.

Examples

withStudent[Precalculus]:

RationalFunctionPlotx3+x2x+1x3

RationalFunctionPlot1x2,'verticalasymptoteoptions'='color'=red,'functionoptions'='color'=blue

RationalFunctionPlotx22x3x21,view=2..5,10..10,functionoptions=color=violet,thickness=2,showslantasymptotes,slantasymptoteoptions=color=magenta,linestyle=dashdot,thickness=2,verticalasymptoteoptions=color=blue,linestyle=dash,thickness=2,removableoptions=symbol=soliddiamond,symbolsize=20,color=green

See Also

plot/typesetting

Student

Student[Precalculus]

Student[Precalculus][RationalFunctionTutor]

Student[Precalculus][VisualizationOverview]

 


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