若集合A={y |y=x2-1} ,B={x ||x2-1|≤3},则A∩B=

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若集合A={y |y=x2-1} ,B={x ||x2-1|≤3},则A∩B=

若集合A={y |y=x2-1} ,B={x ||x2-1|≤3},则A∩B=
若集合A={y |y=x2-1} ,B={x ||x2-1|≤3},则A∩B=

若集合A={y |y=x2-1} ,B={x ||x2-1|≤3},则A∩B=
y=x^2-1>=-1
故A=[-1,+∞)
|x^2-1|<=3
-3<=x^2-1<=3
-2<=x^2<=4
-2<=x<=2
故B=[-2,2]
故A∩B=[-1,2]