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If f:RR rarr RR is defined by f(x)=[(x)/...

If `f:RR rarr RR` is defined by `f(x)=[(x)/(2)]` for `x in RR`, where `[y]` denotes the greatest integer not exceeding, y then `{f(x):|x| lt 71}=`

A

{-14,-13,……0,……13,14}

B

{-14,-13,…….,0,…..,13,14,15}

C

[-15,-14,……..0,…..13,14}

D

{-15,-14,……,0,…..14,15}

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The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -II
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  2. If f:Rrrarr RR and g: RR rarr RR are defined by f(x)=|x| and g(x)=[x-3...

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  3. If f:RR rarr RR is defined by f(x)=[(x)/(2)] for x in RR, where [y] de...

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  4. Range of f(x) =[sin x] is A, Range of f(x) = [tan x] is B then A cap B...

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  5. The range of the function f(x) = cos[x] where -pi/2 lt x lt pi/2 is

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  6. The range of [x] -x is A and x-[x] is B then A cap B =

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  7. If f : R to R is defined by f(x) = [2x]-2[x] for x in R, where [x] is...

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  8. The range of sin log [(sqrt(4-x^(2))/(1-x))] is

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  9. Let f(x) = sinx and g(x) = log|x|.If the ranges of composite functions...

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  10. If f from [-1,1] into [-1,1] defined by f(x) =3x-5 then f is:

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  11. If f: D to R be the function with domain: D={x: -pi/2 lt x lt pi/2} ...

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  12. If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0...

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  13. If f: R to R is defined by f(x) =x+ sqrt(x^(2)), then f is:

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  14. A={x:-1 le x le 1}, f: A to A defined by f(x) =x|x|. Then f is:

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  15. If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3, then f is

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  16. y=f(x) =x/(1+|x|), x in R, y in R is

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  17. f: R to R is a function defined by f(x) =(e^(|x|) -e^(-x))/(e^(x) + e^...

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  18. If f: R to R defined by f(x) =(e^(x^(2)) -e^(-x^(2)))/(e^(x^(2)) +e^(-...

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  19. If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1, then f is

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  20. If f: R to R defined by f(x) =x^(2)-2x-3, then f is:

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