y=2sin(2x+π/6)x∈[0,π/2],求值域

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y=2sin(2x+π/6)x∈[0,π/2],求值域y=2sin(2x+π/6)x∈[0,π/2],求值域y=2sin(2x+π/6)x∈[0,π/2],求值域x∈[0,π/2]2x+π/6∈[π/

y=2sin(2x+π/6)x∈[0,π/2],求值域
y=2sin(2x+π/6)x∈[0,π/2],求值域

y=2sin(2x+π/6)x∈[0,π/2],求值域
x∈[0,π/2]
2x+π/6∈[π/6,7π/6]
所以 2x+π/6=π/2时,y有最大值2
2x+π/6=7π/6时,y有最小值-1
值域[-1,2]