已知集合M={yly=x²-4x+3,x∈R},N={yly=-x²+2x+8,x∈R},求M∩N

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已知集合M={yly=x²-4x+3,x∈R},N={yly=-x²+2x+8,x∈R},求M∩N
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已知集合M={yly=x²-4x+3,x∈R},N={yly=-x²+2x+8,x∈R},求M∩N
已知集合M={yly=x²-4x+3,x∈R},N={yly=-x²+2x+8,x∈R},求M∩N

已知集合M={yly=x²-4x+3,x∈R},N={yly=-x²+2x+8,x∈R},求M∩N
M = {y l y = x² - 4x + 3,x∈R} = {y l y = (x - 2)² - 1,x∈R} = [-1 ,+∞)
N = {y l y = -x² + 2x + 8,x∈R} = {y l y = - (x - 1)² + 9 ,x∈R} = (-∞ ,9]
M ∩ N = [-1 ,9]