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Let S denotes the set consisting of four...

Let S denotes the set consisting of four functions and `S = { [x], sin^(-1) x, |x|,{x}}` where , `{x}` denotes fractional part and [x] denotes greatest integer function , Let A, B , C are subsets of S.
Suppose
A : consists of odd functions (s)
B : consists of discontinuous function (s)
and C: consists of non-decreasing function(s) or increasing function (s).
If `f(x) in A nn C, g(x) in B nnC, h (x) in B" but not C and " l(x) in ` neither A nor B nor C .
Then, answer the following.
The range of function f (x) is

A

`{-1,0,1}`

B

`{-1,0}`

C

`{0,1}`

D

`{-2,-1,0,1}`

Text Solution

Verified by Experts

The correct Answer is:
D
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