
用min{a,b,c}表示a,b,c,三个数中的最小值,设f(x)=min{x^2,x+2,10-x}(x≥0),则f(x)的最大值
展开全部
若f(x)=x^2,则x^2<=x+2且x^2<=10-x,得1<=x<=2,最大值f(2)=4;
若f(x)=x+2,则x+2<=x^2且x+2<=10-x,得0<=x<=1或2<=x<=4,最小值f(4)=6;
若f(x)=10-x,则10-x<=x^2且x-10<=x+2,得x>=4,最大值f(4)=6;
函数最大值为6
若f(x)=x+2,则x+2<=x^2且x+2<=10-x,得0<=x<=1或2<=x<=4,最小值f(4)=6;
若f(x)=10-x,则10-x<=x^2且x-10<=x+2,得x>=4,最大值f(4)=6;
函数最大值为6
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询