作业帮求最值1、y=5+根号2x^2-10x+3 2、y=(x-1)/(x+2) x属于[-1,3]
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/17 04:41:17
![求最值1、y=5+根号2x^2-10x+3 2、y=(x-1)/(x+2) x属于[-1,3]](/uploads/image/z/13299397-61-7.jpg?t=%E6%B1%82%E6%9C%80%E5%80%BC1%E3%80%81y%3D5%2B%E6%A0%B9%E5%8F%B72x%5E2-10x%2B3+2%E3%80%81y%3D%28x-1%29%2F%28x%2B2%29+x%E5%B1%9E%E4%BA%8E%5B-1%2C3%5D)
x){ٜ
{ 74Vښj?[iv8#]C
mc#FFBӍ51I*ҧ)v6rͣ}h#^#=SMiΥ`Mېt T`rԆ~Lj ` t\[C]cx;ņ構P~ .T(vTVakl6K
ut
AtJa*,0)07/.H̳ %ժ
求最值1、y=5+根号2x^2-10x+3 2、y=(x-1)/(x+2) x属于[-1,3]
求最值1、y=5+根号2x^2-10x+3 2、y=(x-1)/(x+2) x属于[-1,3]
求最值1、y=5+根号2x^2-10x+3 2、y=(x-1)/(x+2) x属于[-1,3]
∵根号(2x^2-10x+3)=根号[2(x-2.5)^2-9.5]≥0
y=5+根号(2x^2-10x+3）≥5,最小值5
y=(x-1)/(x+2) =(x+2-3)/(x+2)=1 - 3/(x+2)
x+2单调增
3/(x+2)单调减
1 - 3/(x+2)单调增
y=(x-1)/(x+2)=1 - 3/(x+2)单调增
x=-1时,最小值1-3/(-1+2)=-2
x=3时,最大值1-3/(3+2)=2/5