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Functions › Functional equations › Extremes in functional equations

Iterated piecewise function value

High school · ●○○○○ 10 pts

For integers nn, let f(n)={n2+1if n is odd,n2−3n+1if n is even.f(n) = \begin{cases} n^2 + 1 & \text{if } n \text{ is odd}, \\ n^2 - 3n + 1 & \text{if } n \text{ is even}. \end{cases} Find f(f(f(f(f(f(2))))))f(f(f(f(f(f(2)))))).

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