Let f:[0,3]→Rf:[0,3] \to \mathbb{R} via f(x)=−2x2+8xf(x) = -2x^2 + 8x. The Extreme Value Theorem tells us that there exists y∈[0,3]y \in [0,3] such that ∀x∈[0,3]\forall x \in [0,3], f(y)≥f(x)f(y) \ge f(x). What is yy in this case?

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