(adsbygoogle = window.adsbygoogle || []).push({}); 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?

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# Homework Help: Constructing a continuous function with a given property.

Can you offer guidance or do you also need help?

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