Consider f(x) as shown (the red line is the graph of f ). The domain and range of f is [0,1].

Can you plot y=f(f(f(f..........(f(x)))))....) i.e. can you tell what happens to x after an infinite number of applications of the function f?

5 comments:

  1. UnknownNovember 26, 2012 at 10:58 PM

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  2. AnujNovember 27, 2012 at 6:18 PM

    Jatin, your answer was correct. You just solved a question from my Digital Image Processing course :).

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  3. UnknownDecember 1, 2012 at 11:15 AM

    bhaiya, what is Digital Image Processing course??

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  4. Himanshu AroraDecember 7, 2012 at 5:23 AM

    something like square wave, line becomes vertical at .5?

    ReplyDelete
  5. AnujDecember 7, 2012 at 5:48 PM

    Yes, it is a square wave, but it does not become vertical at .5

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