已知函数y=Asin(ωx φ)(A>0,ω>0,|x|0,ω>0,|x|

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已知函数y=Asin(ωx φ)(A>0,ω>0,|x|0,ω>0,|x|
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已知函数y=Asin(ωx φ)(A>0,ω>0,|x|0,ω>0,|x|
已知函数y=Asin(ωx φ)(A>0,ω>0,|x|0,ω>0,|x|

已知函数y=Asin(ωx φ)(A>0,ω>0,|x|0,ω>0,|x|
（1）A=3.T/2=1/2*2π/ω=7π/12-π/12,故ω=2.于是有2*π/12+φ=π/2,解得φ=π/3.y=3sin(2x+π/3)
（2）单增：kπ-5π/12≤x≤kπ+π/12；单减：kπ+π/12≤2x+π/3≤kπ+7π/12.k∈Z
（3）[3/2,3]

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