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Plotting a series of piecewise functions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg88905] Plotting a series of piecewise functions
  • From: Claus <clausenator at gmail.com>
  • Date: Wed, 21 May 2008 14:48:08 -0400 (EDT)
  • Organization: Comp.Center (RUS), U of Stuttgart, FRG

Hi,
I want to plot a series of functions. Namely I want to plot a series of 
2-parametric exponential distribution functions. By series I mean the 
graphs for various xo values on one plot.
So,
the function looks like this:

f[lambda_, xo_, x_]:=lambda*Exp[-lambda*(x-xo)]

Now I can plot this (wrongly) with

Plot[Evaluate[Table[f[lambda,xo,x],{lambda,0.5,0.5},{x0,4}]],{x,0,10}]

The problem is that, really, f should be zero for x<xo.
I can plot one graph (for xo=1 and lambda=1) like this:

Plot[Piecewise[{{f[0.5,1,x],x>1},{0,x<1}}],{x,0,10}]

Now, how could I plot a series of plots (for different xo) on one chart 
similarly to the Piecwise approach (can I do it with Piecewise at all, 
or do I need an If clause of sorts)?

Thank you for your help,
Claus


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