The absolute maximum of a function \(f\) at \(x = c\) is defined as \(f(c)\) where \(f(c) \geq f(x)\) for all \(x\) in the domain of \(f\). Similarly, the absolute minimum of \(f\) at \(x = c\) is defined as \(f(c)\) where \(f(c) \leq f(x)\) for all \(x\) in the
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