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If X and Y are sets containing m and n elements respectively then what is the total number of function from X to Y ?

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MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  2. Give an example of a relation which is not a function.

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  3. If X and Y are sets containing m and n elements respectively then wha...

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  4. Find the domain of the following functions : sqrt(9-x^2)

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  5. Find the domain of the following functions : x//(1+x^2)

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  6. Find the domain of the following functions : 1-absx

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  7. Find the domain of the following functions : 1/ (x^2-1)

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  8. Find the domain of the following functions : (sinx) //(1+tanx)

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  9. Find the domain of the following functions : x//absx

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  10. Find the domain of the following functions : 1/(x+ absx)

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  11. Find the domain of the following functions : [x] - x

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  12. Find the domain of the following functions : 1/sqrt(1-x^2)

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  13. Find the domain of the following functions : log(sinx)

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  14. Find the range of the following functions :x^2 - 1//x^2 + 1

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  15. Find the range of the following functions : sqrt(x-1)

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  16. Find the range of the following functions : [x] - x

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  17. Find the range of the following functions : x/(1-x)

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  18. Find the range of the following functions : x//(1 + x^2)

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  19. Find the range of the following functions : 1//2-cos3x

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  20. Find the range of the following functions : log10 (1-x)

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