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
>
--
Daniel Huber
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