求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/11 19:47:39

求画函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像
函数f(x)=根号2sin(2x+π/4)在【π/3,4π/3】图像（我们老师给的横坐标是π/3,5π/8,7π/8,9π/8,4π/3.如果可以的话麻烦给我个图.要最大值和最小值的啦.然后要是顺便告诉我下过程就更好啦!谢谢啦!

答：

f(x)=√2sin(2x+π/4)x=π/3, 2x=2π/3,2x+π/4=11π/12x=5π/8,2x=5π/4,2x+π/4=3π/2,sin(2x+π/4)=-1x=7π/8,2x=7π/4,2x+π/4=2π, sin(2x+π/4)=0x=9π/8,2x=9π/4,2x+π/4=5π/2=2π+π/2,sin(2x+π/4)=1x=4π/3,2x=8π/3,2x+π/4=35π/12=2π+11π/12所以：f(x)最大值为√2,最小值-√2

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