f(x)=2sin(2x+π/6)如上,x∈[π/12,π/2],函数的值域是?
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 04:20:45
![f(x)=2sin(2x+π/6)如上,x∈[π/12,π/2],函数的值域是?](/uploads/image/z/12883071-39-1.jpg?t=f%EF%BC%88x%EF%BC%89%3D2sin%EF%BC%882x%2B%CF%80%2F6%EF%BC%89%E5%A6%82%E4%B8%8A%2Cx%E2%88%88%5B%CF%80%2F12%2C%CF%80%2F2%5D%2C%E5%87%BD%E6%95%B0%E7%9A%84%E5%80%BC%E5%9F%9F%E6%98%AF%3F)
f(x)=2sin(2x+π/6)如上,x∈[π/12,π/2],函数的值域是?
f(x)=2sin(2x+π/6)
如上,x∈[π/12,π/2],函数的值域是?
f(x)=2sin(2x+π/6)如上,x∈[π/12,π/2],函数的值域是?
π/12<=x<=π/2
π/6<=2x<=π
π/3<=2x+π/6<=7π/6
sin在(π/3,π/2)是增函数
(π/2,7π/6)是减函数
所以π/2时最大,7π/6时最小
sinπ/6=1,sin7π/6=-1/2
所以值域[-1,2]