[See Solution] Let I = [a, b] and let f : I → R be continuous on I. If f has an absolute maximum [respectively, minimum] at an interior point c of


Question: Let I = [a, b] and let f : I \(\to \mathbb{R}\) be continuous on I. If f has an absolute maximum [respectively, minimum] at an interior point c of I, show that f is not injective on I.

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