设集合M={y|y=3-x2},N={y|y=2x2-1},则M∩N=_.
问题描述:
设集合M={y|y=3-x2},N={y|y=2x2-1},则M∩N=______.
答
∵集合M={y|y=3-x2}={y|y≤3}=(-∞,3],N={y|y=2x2-1}={y|y≥-1}=[-1,+∞),
则M∩N=[-1,3],
故答案为[-1,3].