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Classify f: Z->Z given by f(x)=x^3 as in...

Classify `f: Z->Z` given by `f(x)=x^3` as injection, surjection or bijection.

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RD SHARMA ENGLISH-FUNCTION-All Questions
  1. Classify f: Z->Z given by f(x)=x^2 as injection, surjection or bije...

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  2. Classify f: N->N given by f(x)=x^3 as injection, surjection or bije...

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  3. Classify f: Z->Z given by f(x)=x^3 as injection, surjection or bije...

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  4. Classify f: R->R , defined by f(x)=|x| as injection, surjection or ...

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  5. Classify f: Z->Z , defined by f(x)=x^2+x as injection, surjection o...

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  6. Classify f: Z->Z , defined by f(x)=x-5 as injection, surjection or ...

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  7. Classify f: R->R , defined by f(x)=sinx as injection, surjection or...

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  8. Classify f: R->R , defined by f(x)=x^3+1 as injection, surjection o...

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  9. Classify f: R->R , defined by f(x)=x^3-x as injection, surjection o...

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  10. Classify f: R->R , defined by f(x)=sin^2x+cos^2x as injection, surje...

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  11. Classify f: Q-{3}->Q , defined by f(x)=(2x+3)/(x-3) as injection, s...

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  12. Find dy/dx if y^7=x

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  13. Find dy/dx if y^3=x

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  14. Classify f: R->R , defined by f(x)=3-4x as injection, surjection or...

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  15. Classify f: R->R , defined by f(x)=1+x^2 as injection, surjection o...

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  16. Classify f: R->R , defined by f(x)=x/(x^2+1) as injection, surjecti...

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  17. If f: A->B is an injection such that range of f={a} . Determine the...

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  18. Show that the function f: R-{3}->R-{1} given by f(x)=(x-2)/(x-3) is a ...

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  19. Let A=[-1,\ 1] . Then, discuss whether the following functions from...

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  20. Are the following set of ordered pairs functions? If so, examine wh...

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