Question: Consider the quadratic function f(x) = Ax 2 + Bx + C, where A, B, and C are real numbers with A 0. Show

Consider the quadratic function f(x) = Ax² + Bx + C, where A, B, and C are real numbers with A ≠ 0. Show that when the Mean Value Theorem is applied to f on the interval [a, b], the number c guaranteed by the theorem is the midpoint of the interval.

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