题目

函数f(x)=x2+x-. (1)若定义域为[0,3],求f(x)的值域; (2)若f(x)的值域为[-,],且定义域为[a,b],求b-a的最大值. 答案:∵f(x)=(x+)2-, ∴对称轴为x=-. (1)∵3≥x≥0>-, ∴f(x)的值域为[f(0),f(3)],即[-,]; (2)∵x=-时,f(x)=-是f(x)的最小值, ∴x=-∈[a,b],令x2+x-=, 得x1=-,x2=, 根据f(x)的图象知b-a的最大值是-(-)=. He made another wonderful discovery, _________ of great importance to science. [  ] A. which I think is B. which I think it is C. which I think it D. I think which is
数学 试题推荐