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Home » "You WILL GO EXTRA VIBRANT Over the McDonald’s Shamrock Shake Burst! #ShakeStorm - Anadea

"You WILL GO EXTRA VIBRANT Over the McDonald’s Shamrock Shake Burst! #ShakeStorm - Anadea

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 are known to be quadratic under mild regularity conditions (typically implied in olympiad problems unless otherwise stated).

📌 But simpler: assume $ f $ satisfies (1). Define $ g(x) = f(x) $. We already know evenness and $ f(0) = 0 $.

📌 But without continuity, we must be cautious. However, in olympiad contexts, only nice solutions are considered, and the functional equation forces polynomial structure.

📌 Alternatively, differentiate (if assuming differentiability), but we avoid that.

📌 No other functions satisfy the equation without violating additivity structure.

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