A={x|y=-x²-2x+1},B={y|y=-x²-2x+1},则A∩B=?A∪B=?

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A={x|y=-x²-2x+1},B={y|y=-x²-2x+1},则A∩B=?A∪B=?

A={x|y=-x²-2x+1},B={y|y=-x²-2x+1},则A∩B=?A∪B=?
A={x|y=-x²-2x+1},B={y|y=-x²-2x+1},则A∩B=?A∪B=?

A={x|y=-x²-2x+1},B={y|y=-x²-2x+1},则A∩B=?A∪B=?
A={x|y=-x²-2x+1} 这里x 是y=-x²-2x+1 的定义域 x为R 既 A=R
B={y|y=-x²-2x+1},这里y 是y=-x²-2x+1 的值域 开口向下,最大值为2
所以 y≤2 即B={y|y≤2}
所以A∩B=B=
A∪B=A=R

A = R
y = -x² -2x + 1
= -(x + 1)² + 2 ≤ 2
所以B = {y|y ≤ 2}
所以
A∩B = {y|y ≤ 2}
A∪B = R

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