An algebra problem by Aaron Jerry Ninan

Algebra Level 4

A function \(f:\mathbb{R}\rightarrow \mathbb{R}\) satisfies the following \[\large \begin{align} |f(x)-f(y)| & \leq |x-y|^{3} \\ \\ f(3) & = 11. \end{align} \] Find the value of \(f(2016)\).

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