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Let A be the set of all 50 students of...

Let `A` be the set of all 50 students of class `X I I` in a central school. Let `f: A->N` be a function defined by `f(x)=Roll number of student x` Show that `f` is one-one but not onto.

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RD SHARMA ENGLISH-FUNCTION-All Questions
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  2. Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(...

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  3. Let A be the set of all 50 students of class X I I in a central scho...

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  4. Show that the function f: N->N , given by f(x)=2x , is one-one but not...

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  5. Prove that f: R->R , given by f(x)=2x , is one-one and onto.

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  7. Show that f: R->R , defined as f(x)=x^3 , is a bijection.

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  13. Show that the function f: R->R given by f(x)=cosx for all x in R , is...

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  14. Let A=R-{2} and B=R-{1} . If f: A->B is a mapping defined by f(x)=(...

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  15. Let A and B be two sets. Show that f: AxxB->BxxA defined by f(a ,\ b)=...

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  16. Let A be any non-empty set. Then, prove that the identity function on ...

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  17. Let f: N-{1}->N be defined by, f(n)= the highest prime factor of n ...

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  18. Let A={1,2} . Find all one-to-one function from A to A.

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  19. Consider the identity function IN : N->N defined as, IN(x)=x for al...

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  20. Consider a function f:[0,pi/2]->R given by f(x)=sin x and g:[0,pi/2]->...

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