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Consider the function f(x)={{:(x-[x]-(1)...

Consider the function `f(x)={{:(x-[x]-(1)/(2),x !in),(0, "x inI):}` where [.] denotes the fractional integral function and I is the set of integers. Then find `g(x)max.[x^(2),f(x),|x|},-2lexle2.`

A

`x^(2),-2le x le-1`

B

`1-x, -1 lt x le-(1)/(4)`

C

`(1)/(2)+x, -(1)/(4)lt x lt0`

D

`1+x, 0 le x lt1`

Text Solution

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The correct Answer is:
A, B, C, D
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