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Re: Plot[f[x], {x,a,b}] Not Reaching End Points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg29063] Re: [mg29028] Plot[f[x], {x,a,b}] Not Reaching End Points
  • From: Tomas Garza <tgarza01 at prodigy.net.mx>
  • Date: Sat, 26 May 2001 21:53:58 -0400 (EDT)
  • References: <200105250548.BAA07874@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

 This a matter of resolution. See, if you include a vertical line at x = 1,
then your curve will be indistinguishable from that line as you get close to
x = 1:

In[1]:=
n = 0.1;   Plot[(1 - x)^n, {x, 0, 1}, PlotRange -> {{0, 1}, {0, 1}},
  Epilog -> Line[{{1, 0}, {1, 1}}]]

The only way to include the part of the plot very close to x = 1 would be to
make it a vertical line.

Tomas Garza
Mexico City

----- Original Message -----
From: "aes" <siegman at stanford.edu>
To: mathgroup at smc.vnet.net
Subject: [mg29063] [mg29028] Plot[f[x], {x,a,b}] Not Reaching End Points


> When I execute
>
>       n=0.1;   Plot[ (1-x)^n, {x,0,1} ]
>
> the plot stops well short of dropping all the way to the baseline on the
> steeply falling edge as x approaches 1 --- even if I use PlotRange->All
> or expand to something unreasonable like PlotPoints->10000.
>
> I understand that a Plot routine can have difficulties dealing with
> singularities or rapidly varying functions within the range to be
> plotted -- but it seems surprising to me that it should totally pass
> over or omit an explicitly stated, nonsingular end point.
>



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