16. (2023•宜春模拟)已知函数f(x)=2sin(2x+φ)(0<φ<π)f(x)=2\sin (2x+\varphi )(0<\varphi <\pi )f(x)=2sin(2x+φ)(0<φ<π)满足f(0)=1f(0)=1f(0)=1,且f(x)f(x)f(x)在(0,π4)({0,\frac{\pi }{4}})(0,4π)上单调,则f(x)f(x)f(x)在[0,π2][{0,\frac{\pi }{2}}][0,2π]上的值域为((( )))