f(x)∈[-2,2]
∴A=2
∵T=π
∴2π/ω=π π=2
y=2sin(2x+φ)
将(2/3*π,-2)代入
φ=π/6
∴y=2sin(2x+π/6)
y在[π/12,π/6]递增,在[π/6,π/2]递减
∴当x=π/6时,ymax=2
当x=π/2时,ymin=-1
∴f(x)∈[-1,2]