Question

设P为曲线C:y=x^2-x+1上一点，曲线C在点P处的切线的斜率范围是【1，3】，则点P纵坐标取值范围是？

Answer 1

y‘=2x-1所以 -1≤2x-1≤3 0≤x≤2y=x²-x+1=(x-1/2)²+3/4 x=1/2，y最小值=3/4 x=2, y最大值=3纵坐标范围[3/4, 3]

载自http://zhidao.baidu.com/question/330764963.html

Answer 2

y'=2x-11<=y'<=31<=2x-1<=31<=x<=2y=x^2-x+1=(x-1/2)^2+3/4y的范围是[1,3]