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Interval, Range of a function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81612] Interval, Range of a function
  • From: janos <janostothmeister at gmail.com>
  • Date: Sat, 29 Sep 2007 02:29:37 -0400 (EDT)

If you ask Mathematica what is the range of Sin restricted to e.g. [0,Pi/4]
you will get a correct answer.
This is not always the case, however. Let
f[x_]:=5Exp[-2x]-3Exp[-x]
f[Interval[{-Infinity,+Infinity}]]

Then the answer Interval[{-Infinity,+Infinity}] is different from what
you see on the figure of the function.

Is there a bug here?

Thanks, Janos



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