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Re: How to plot discontinuous functions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90151] Re: How to plot discontinuous functions?
  • From: dh <dh at metrohm.ch>
  • Date: Tue, 1 Jul 2008 06:56:45 -0400 (EDT)
  • References: <g4a6tv$8uh$1@smc.vnet.net>


Hi Aaron,

I think Mathematica does not recognize the piecewise function because the Head 

of your expression is actually Part. Plot does therefore not know about 

the discontinuity.

Daniel



Aaron Fude wrote:

> Hi,

> 

> If a function is defined via If, then when plotted it does not

> acknowledge the discontinuity. E.g.

> 

> f[x_] := If[x < 1, 1, 2];

> Plot[f[x], {x, 0, 2}, PlotRange -> {0, 3}]

> 

> Defined via Piecewise, it does, but in my experience, not always:

> f[x_] := Piecewise[{{{1, 1}, x < 1}}, {2, 2}];

> Plot[f[x][[1]], {x, 0, 2}, PlotRange -> {0, 3}]

> 

> How do I make the Plot function try to acknowledge the discontuity by

> not connecting the left limit and the right limit?

> 

> Thanks,

> 

> Aaron

> 





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Daniel Huber

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Tel. +41 71 353 8585, Fax +41 71 353 8907

E-Mail:<mailto:dh at metrohm.com>

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