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Constructing a continuous function with a given property.

  1. Apr 14, 2010 #1
    1. The problem statement, all variables and given/known data
    Find f:I->I such that each x on I shows up an infinite amount of times on f(I), f continuous

    2. Relevant equations
    Lol , equations?

    3. The attempt at a solution
    The weierstrauss function, I want to expand on it's fractal property and say that it crosses a given point infinite amounts of times. Confident this is right, I just don't know how I can manipulate it to stick on I, would squaring the cosine components and dividing by 2 restrict in to a proper domain?
     
  2. jcsd
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