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 Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>