# 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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