# Maximizing (Max+Min)

Algebra Level 1

Let $$M$$ and $$m$$ be the maximum and minimum values of the function$f(x)=x^2-ax\ (0 \leq a \leq 2)$ in the domain $$0 \leq x \leq 6.$$ Choosing $$a$$ to make $$M+m$$ as large as possible, what is the value of $$M+m?$$

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