已知函数f(x)=sin(2x+π/6)+3/2,x∈R 问:当x∈[0,π/4]时,求值域

问题描述:

已知函数f(x)=sin(2x+π/6)+3/2,x∈R 问:当x∈[0,π/4]时,求值域

f(x)=3/2+sin(2x+π/6)
x∈【0,π/4】时求函数的值域
2x+π/6属于[π/6,2π/3]
sin(2x+π/6)属于[1/2,1]
f(x)属于[2,5/2]
即值域为[2,5/2]