急!!!求函数y=1-x⼀1-x+x^2的值域

函数y=1-x/1-x+x^2的值域
2025-03-09 11:08:45
推荐回答(1个)
回答1:

y-yx+yx^2=1-x
yx^2+(1-y)x+y-1=0
当y不等于0时,△>=0
(1-y)^2-4y(y-1)>=0

(y-1)(y-1-4y)>=0
(y-1)(3y+1)<=0
所以 -1/3<=y<=1 且y不等于0