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A function is matched below against an i...

A function is matched below against an interval where it is supposed to be increasing. Which of the following parts is incorrectly matched? Interval, Function [2, `oo)` , `2x^3-3x^2-12 x+6` `(-oo,oo)` , `x^3=3x^2+3x+3` `(-oo-4)` , `x^3+6x^2+6` `(-oo,1/3)` , `3x^2-2x+1`

A

`[2,oo),2x^(3)-3x^(2)-12x+6`

B

`[-oo,oo),x^(3)-3x^(2)-3x+3`

C

`[-oo,-4),x^(3)-6x^(2)+6`

D

`[-oo,(1)/(3)],3x^(2)-2x+1`

Text Solution

Verified by Experts

The correct Answer is:
4
f(x)=`3x^(2)-2x+1`
`therefore f(X)=6x-2`
f is increasing .Thus `f(x)ge0i.e`
`6x-2ge or x ge1/3`
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