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If f : R -> R is defined by f(x) = [2x] ...

If `f : R -> R` is defined by `f(x) = [2x] - 2[x]` for `x in R`, where [x] is the greatest integer not exceeding x, then the range of f is

A

Z

B

N

C

`{0,1}`

D

`{-1,0,1}`

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE ( LEVEL 1 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. Let A and B be two finite sets such that A cap B is a singleton. If n...

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  2. A set contains 2n+1 elements. The number of subsets of this set conta...

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  3. Let Z be the set of integers. If A = {x in Z : 2(x + 2)(x^(2) - 5x + 6...

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  4. Let N denotes the set of all natural numbers. Define two binary relati...

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  5. Consider the following two binary relations on the set A = {a,b,c},...

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  6. On C, the set of complex number, define a relation R as follows: R =...

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  7. Let M = {({:(a,b),(-b,a):}): a,b in R " and " a^(2) + b^(2) ne 0} De...

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  8. Let A and B be two sets such that A - B = B-A, then

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  9. Let A and B be two sets defined as follows: A = {(x,y) in R xx R : y...

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  10. Suppose A(1), A(2),………..A(45) sets such that each A(i) has 6 elements ...

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  11. Consider the function f(x)=(x-1)/(x+1) What (f(x)+1)/(f(x)-1) equal ...

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  12. If f(x)=(x+1)/(x-1) then the value of f(f(f(x))) is :

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  13. Let f(x) = (x^(2))/((1+x^(2)) .Then range (f ) =?

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  14. Let f, g: R to R by f(x) = x|x| -1 AA x in R and g(x) = {{:(3/2x, if...

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  15. Let A = [-1, 1]. Which of the following functions on A is not a biject...

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  16. Let f: R -{0} to R be defined by f(x) =x + 1/x, then range of g(x) =...

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  17. Let A, B and C be three non-empty sets. Suppose f : A to B and g: B to...

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  18. Suppose: f : R to S is defined by f(x) = 1/(x^(2) + 2x + 2) AA x in ...

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

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  20. Domain of f(x) = sqrt(2x-1) + sqrt(13) cos^(-1) ((2x-1)/2) is

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