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Consider the set A={1,2,3,4,5}, and B={1...

Consider the set `A={1,2,3,4,5}`, and `B={1,4,9,16,25}` and a function `f:AtoB` defined by `f(1)=1`, `f(2)=4`, `f(3)=9`, `f(4)=16 ` and `f(5)=25`.
Show that `f` is onto.

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MAXIMUM PUBLICATION-RELATIONS AND FUNCTIONS-EXAMPLE
  1. Consider f:RtoR given by f(x)=3x+2 show that f is invertible. Find t...

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  2. Consider the set A={1,2,3,4,5}, and B={1,4,9,16,25} and a function f:A...

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  3. Consider the set A={1,2,3,4,5}, and B={1,4,9,16,25} and a function f:A...

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  4. Consider the set A={1,2,3,4,5}, and B={1,4,9,16,25} and a function f:A...

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  5. When a relation R on a set A is said to be reflexive

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  6. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

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  7. The function f:NtoN given by f(x)=2x

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  8. Find gof(x), if f(x)=8x^3 and g(x)=x^(1/3)

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  9. Let ast be an operation such that aastb=LCM of a and b defined on the ...

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  10. f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)}. Does the ...

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  11. A=R-{7/5},B=R-{3/5} f:AtoB defined by f(x)=frac(3x+4)(5x-7) g:BtoA...

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  12. Let A=NtimesN, N-set of natural numbers and 'ast' be a binary operatio...

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  13. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  14. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  15. Let N be the set of Natural numbers. Consider the function f:NtoN defi...

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  16. Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and...

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  17. Show that f:[-1,1]toR given by f(x)=frac(x)(x+2) is one-one.

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  18. Let 'ast' be a binary operation on Q^+ defined by 'aastb=frac(ab)(6)'....

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  19. ast:Rto R given by aastb=3a^2-b Find the value of 2ast3 . Is 'ast' ...

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  20. f:RtoR is defined by f(x)=x^2-3x+2 Find fof(x) and fof(1).

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