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How to plot discontinuous functions?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg90135] How to plot discontinuous functions?
  • From: Aaron Fude <aaronfude at gmail.com>
  • Date: Mon, 30 Jun 2008 04:53:30 -0400 (EDT)

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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