试题与答案

已知f(x)=2x2-2x,f(x)的零点在哪个区间( ) A.(-3,-2)

题型:选择题

题目:

已知f(x)=2x2-2x,f(x)的零点在哪个区间(  )

A.(-3,-2)

B.(-1,0)

C.(2,3)

D.(4,5)

答案:

∵f(-1)=2×1-2-1=2-

1
2
=
3
2
>0,f(0)=0-20=-1<0.

∴f(-1)f(0)<0,

∴函数f(x)=2x2-2x,在区间(-1,0)内有零点.

故选B.

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