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Iterated Tent Function Graph Length

1925SpecialistCalculusFunctions

Harvard-MIT Mathematics Tournament

Let $f$ be the function such that $$ f(x)= \begin{cases}2x & \text{ if } x \leq \frac{1}{2} \\ 2-2x & \text{ if } x > \frac{1}{2}\end{cases} $$ What is the total length of the graph of $\underbrace{f(f(\ldots f}_{2012\ f\text{'s}}(x) \ldots))$ from $x=0$ to $x=1$?
0 students attempted0% solvedRating 1925

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