Problem 9 points). For each of the following functions d: R2 x R² → [0, 00), say whether d is a metric. Briefly explain your reasoning. a. d(x, y) = 2d₁(x, y), where di denotes the Manhattan distance. b. d(x, y) = √(x1 + y1)² + (x2 + y2)². c. d(x, y) = 1 for all x, y € R².

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