Divided we fall

Algebra Level 1

What is the maximum value of \(f(x)\), defined in \(0 \leq x \leq 4\) as \[ f(x) = \begin{cases} 2x & \text{ for } 0 \leq x \leq 2, \\ 8-2x & \text{ for } 2 < x \leq 4. \\ \end{cases} \]

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