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Let A = { a,b,c }, absB = {1,2} Determin...

Let A = { a,b,c }, `absB` = {1,2} Determine all the relations from A to B and determine the domain range and inverse of each relation.

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A = {a,b,c} , B = {1,2]
`therefore A xx B` = {(a,1), (a,2), (b,1),(b,2),(c,1),(c,2)}
`therefore abs(A xx B)` = 6
`therefore absP(A xx B ) = 2^6 = 64
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MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If A xx B = B xx A then what can you say about A and B ?

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  2. abs(A xx B) = 6. If (-1,y), (1,x),(0,y) are in A xx B. Write other ele...

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  3. Let A = { a,b,c }, absB = {1,2} Determine all the relations from A to ...

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  4. Let A = { a,b,c }, absB = {1,2} Determine all the relation from B to A...

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  5. Let A = { a,b,c }, absB = {1,2} Is there any relation which is both a ...

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  6. Let A = { a,b,c }, absB = {1,2} Of all the relations from A to B ident...

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  7. Are the following sets relation ? phi from A to B . Determine the dom...

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  8. Are the following sets relation ? A xx B from A to B.Determine the dom...

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  9. Are the following sets relation ? A xx phi from A to phi. Determine ...

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  10. Are the following sets relation ? phi * B from phi to B.

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  11. Are the following sets relation ? phi xx phi from phi to phi. Determi...

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  12. Are the following sets relation ? phi x C from A to B . Determine th...

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  13. Are the following sets relation ? phi xx phi from A to B. Determine ...

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  14. Express the following relations on A to B in each case in tabular for...

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  15. Express the following relations on A to B in each case in tabular for...

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  16. Express the following relations on A to B in each case in tabular for...

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  17. A and B arenon-empty sets such that absA = m, absB = n. How many relat...

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  18. Give an example of a relation f such that dom f = rng f

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  19. Give an example of a relation f such that dom f subset rng f

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  20. Give an example of a relation f such that dom f supset rng f

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