函数y=2sin(2x-π/3),x∈[π/3,3π/4]的值域

问题描述:

函数y=2sin(2x-π/3),x∈[π/3,3π/4]的值域

x∈[π/3,3π/4]
2x-π/3∈[π/3,7π/6]
sin在(π/3,π/2)递增
(π/2,7π/6)递减
所以最大=2snπ/2=2
最小sin7π/6=-1
值域[-1,2]