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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