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Show that the function f:N to N defined ...

Show that the function `f:N to N` defined by `f(x)=2x-1` is one-one but not onto.

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PREMIERS PUBLISHERS-RELATIONS AND FUNCTION -EXERCISE 1.4
  1. Represent the function f={(1, 2), (2, 2), (3, 2), (4, 3), (5, 4)} thro...

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  2. Represent the function f={(1, 2), (2, 2), (3, 2), (4, 3), (5, 4)} thro...

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  3. Show that the function f:N to N defined by f(x)=2x-1 is one-one but no...

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  4. Show that the function f:N toN defined by f(m)=m^(2)+m+3 is one-one fu...

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  5. Let A ={ 1,2,3,4,} and B =N. Let f: A to B be defined by f(x) =x^(2) ...

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  6. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

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  7. In each of the following cases state whether the functions is bijectiv...

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  8. In each of the following cases state whether the functions is bijectiv...

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  9. Let A={-1, 1} and B={0, 2}. If the functions f:A to B defined by f(x)=...

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  10. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

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  11. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

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  12. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

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  13. If the function f is defined by f(x)={{:(x+2",",x gt 1),(2",",-1 le x ...

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  14. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

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  15. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

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  16. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

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  17. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

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  18. The distance S an object travles under the influence of gravity in tim...

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  19. The function 't' which maps temperature in Celsius (C) into temperatur...

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  20. The function 't' which maps temperature in Celsius (C) into temperatur...

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