The function!

Calculus Level 3

Let \(f: \mathbb {R \to R}\) be a function such that for all \(x , y \in \mathbb R\)

\[\large \left| f(x) - f(y)\right| \le 6\left|x - y\right|^2\]

If \(f(3) = 6\) then find \(f(6)\).

Notation: \(|\cdot|\) denotes the absolute value function.

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