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The rule f(x) = x^(2) is a bijection if ...

The rule f(x) = `x^(2)` is a bijection if the domain and the co-domain are given by

A

R,R

B

`R,(0, infty)`

C

`(0, infty),R`

D

`[0, infty),[0, infty)`

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The correct Answer is:
D
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FULL MARKS-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(Bxxc)=3,and n(BnnC)=2 then n(A) is ........................

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  4. If n (A) = 2 and n (B cupC) =3 then n [(AxxB) cup (AxxC)] is

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

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  6. For non-empty sets A and B, if A sub B "then" (AxxB ) cap (BxxA) is eq...

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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...

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  10. The range of the function (1)/(1-2 sinx ) 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 bijection if the domain and the co-domain a...

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  13. The number of relations form a set containing melements to a set conta...

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

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

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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,...

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  17. The inverse of f(x) = {(x,if,xlt1),(x^(2),if,1lt=xlt=4"is"),(8sqrt(x),...

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  18. Lett f: R rarr R be defined by f(x)=1-|x|. Then the range of f is

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  19. The function f: R rarr R is defined by f(x)= sin x+ cos x is ............

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  20. The function R rarr R is defined by f(x)=cosx is .............

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