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The range of the function f(x)=| |(x)-x|...

The range of the function `f(x)=| |__(x)-x|,x in RR` is

A

`[0,1]`

B

`[0,oo)`

C

`[0,1)`

D

`(0,1)`

Text Solution

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The correct Answer is:
C
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NCERT TAMIL-SETS, RELATIONS AND FUNCTIONS-EXERCISE 1.5
  1. Let A and B be subsets of the universal set NN, the set of natural num...

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  2. The number of students who take both the subjects Mathematics and Chem...

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  3. If n((AxxB)nn(AxxC))=8 and n(BnnC)=2 then n(A) is

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  4. If n(A)=2 and n(BuuC)=3 then n[(AxxB)uu(AxxC)] is

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  5. If two sets A and B have 17 elements in common, then the number of el...

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  6. For non empty set A and B if AsubB then (AxxB)nn(BxxA) is equal to

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  7. The number of relations on a set containing 3 elements is

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  8. Let R be the universal relation on a set X with more than one element....

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  9. Let X={1,2,3,4} and R={(1,1),(1,2),(1,3),(2,2),(3,3),(2,1),(3,1),(1,4)...

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  10. The range of the function 1/(1-sin x) is

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  11. The range of the function f(x)=| |(x)-x|,x in RR is

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  12. The rule f(x)=x^(2) is a bijectionif the domain and the co domain are ...

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  13. The number of constant functions from a set containing m elements to a...

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  14. The function f:[0,2pi]to[-1,1] defined by f(x)=sin x is

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  15. If the function f:[-3,3] to S definced by f(x)=x^(2) is onto then S is

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  16. Let X={1,2,3,4},Y={a,b,c,d} and f={(1,a),(4,b),(2,c),(3,d),(2,d)}. The...

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  17. The inverse of f(x)={(x,"if",x lt 1),(x^(2),"if",1lexle4),(8sqrt(x),"i...

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  18. Let f:RR to RR be defined by f(x)=1-|x|. Then the range of f is

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  19. The function f:RRtoRR is defined by f(x)=sinx+cosx is

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  20. The function f:RR toRR is defined by f(x)=((x^(2)+cosx)(1+x^(4)))/((...

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