Maximizing (Max+Min)

Algebra Level 1

Let MM and mm be the maximum and minimum values of the functionf(x)=x2ax (0a2)f(x)=x^2-ax\ (0 \leq a \leq 2) in the domain 0x6.0 \leq x \leq 6. Choosing aa to make M+mM+m as large as possible, what is the value of M+m?M+m?

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