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Re: How to plot discontinuous functions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90148] Re: How to plot discontinuous functions?
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Tue, 1 Jul 2008 06:56:11 -0400 (EDT)
  • Organization: Uni Leipzig
  • References: <g4a6tv$8uh$1@smc.vnet.net>
  • Reply-to: kuska at informatik.uni-leipzig.de

Hi,

f[x_] := If[x < 1, 1, 2];
Plot[f[x], {x, 0, 2}, PlotRange -> {0, 3}, Exclusions -> {x == 1}]

Regards
   Jens

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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