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Let X and Y be subsets of R, the set of ...

Let X and Y be subsets of R, the set of all real numbers. The function `f: X to Y` defined by `f(x) = x^(2)` for `x in X` for xs X is one-one but not onto if

A

`X=Y=R^(+)`

B

`X=R, Y = R^(+)`

C

`X=R^(+), Y=R`

D

`X=Y=R`

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The correct Answer is:
C
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AAKASH SERIES-FUNCTIONS -EXERCISE -I
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  2. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

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  3. If f:[0,infty) to R defined by f(x) = x^(2), then f is

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  4. Let X and Y be subsets of R, the set of all real numbers. The function...

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  5. If f: A to A is defined by f(x) =x^(3), where A ={x//-1 le x le 1}, th...

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  6. The function cos(3x-4) defined from R to R is:

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  7. A is a finite set and B is a singleton set. Then f: A to B is:

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  8. Set A has n elements. The number of functions that can be defined from...

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  9. The number of one one functions that can be defined from {1, 2, 3, 4}...

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  10. Let n(A) = 4 and n(B) = k. The number of all possible injections from ...

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  11. Let n(A) = 4 and n(B) = 5. The number of all possible many-one functio...

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  12. Set A contains 3 elements and set R contains 2 elements. The number of...

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  13. Let A = {1, 2, 3,--------n} and B = {a, b, c], the number of functions...

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  14. Set A has 3 elements. Set B has 4 elements. The number of surjections ...

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  15. If A = {a(1),a(2), ……,a(10)} and B = {b(1),b(2),b(3),…….b(10)} then th...

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  16. The number of one one onto functions that can be defined from {1,2,3,4...

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  17. If A, B are two sets such that n(A) = 100, n(B) = 150, then the number...

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  18. A = {1, 2, 3, 4), B = {a, b, c, d, e}, then the number of all possible...

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  19. If A = {1, 2, 3, 4} then the number of binary operations that can be d...

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  20. If A ={a,b,c} then the number of functions that can be defined from A ...

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