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Check the injectivity and surjectivity o...

Check the injectivity and surjectivity of the following functions `f:Zrarr Z` defined by `f(x)=x^2`

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MAHAVEER PUBLICATION-FUNCTION-QUESTION BANK
  1. Which of the following functions are even and which odd? f(x)=x^3+x

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  2. which of the following functions are even and which odd? f(x)=x^3+x

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  3. if f(x)=1/(1-x) then find f((x-1)/x)

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  4. If f\ : R-: R be defined by f(x)=(3-x^3)^(1//3)\ , then find fof(x)

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  5. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

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  6. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

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  7. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

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  8. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

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  9. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x th...

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  10. If f and g are two functions defined by f(x)=sqrt(x+1) and g(x)=1/x t...

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  11. Draw the graph of the following functions and hence find the range of ...

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  12. Draw the graph of the following functions and hence find its ranges f(...

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  13. Draw the graph of the following functions and hence find its ranges : ...

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  14. Draw the graph of the following functions and hence find its ranges: f...

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  15. Check the injectivity and surjectivity of the following functions f:Zr...

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  16. Check the injectivity and surjectivity of the following functions f:R ...

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  17. Check the injectivity and surjectivity of the following functions f:R-...

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  18. Check the injectivity and surjectivity of the following functions f:Rr...

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  19. If f:R-{2/3}rarr R defined by f(x)=(4x+3)/(6x-4) show that f(f(x))=x

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  20. Show that the function f:R rarr R defined by f(x)=x^4+5 is neither one...

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