Question

已知函数f(x)=x^2-2x-3 (1)若x∈[-2,0]求函数的最值; (2)若x∈[2,4

Answer 1

f(x)=(x-1)^2-4,开口向上,对称轴为x=1

1)在[-2,0]单调减,最大值为f(-2)=5,最大值为f(0)=-3;

2)在[2,4]单调增,最大值为f(4)=5,最小值为f(2)=-3