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Let A ={a,b}, write all one-one mappings...

Let `A ={a,b},` write all one-one mappings from A to itself.

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The correct Answer is:
`f(a)=a,f(b) and f(a)=b,f(b)=a`
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CHHAYA PUBLICATION-MAPPING OR FUNCTION-EXERCISE 2A ( very short answer type questions)
  1. Let A ={a,b}, write all one-one mappings from A to itself.

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  2. Let A={1,2,3}, write all one-one function from A rarrA.

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  3. Let A={0,1}, B={2,6} and f: A rarr B be given by, f(x)=6-4x and g: A r...

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  4. Prove that the mapping f: RR rarr RR defined by ,f(x)=x^(2)+1 for all ...

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  5. Prove that the mapping f: RR rarr RR defined by ,f(x)=x^(2)+1 for all ...

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  6. Let A={-1,1,2,-3}, B={2,8,18,32} and f: A rarr B be defined by, f(x)=...

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  7. Prove that the function f: RR rarr RR defined by, f(x)=sin x, for all...

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  8. Show that the modulus function f: RR rarr RR , given by f(x)=|x| is n...

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  9. Show that, the mapping f:NN rarr NN defined by f(x)=3x is one-one but ...

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  10. Prove that, the function f: RR rarr RR defined by f(x)=x^(3)+3x is bij...

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  11. Let A be a finite set If f: A rarr A is an onto mapping , show that it...

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  12. Let A be the set of quadrilaterals in a plane and RR^(+) be the set of...

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  13. Let A={-1,1,-2,2},B={3,4,5,6} and f: A rarr B be the mapping defined b...

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  14. Let D be the set of odd natural numbers . Then show that the mapping f...

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  15. Show that, the mapping f: RR rarr RR defined by f(x)=mx +n, where m,n...

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  16. Let A=RR-{2} and B=RR-{1}. Show that, the function f:A rarr B defined ...

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  17. Let CC be the set of complex numbers and f:CC rarr RR be defined by f(...

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  18. Show that the signum function f:RR rarr RR , given by f(x)={(1" if "...

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  19. Let A={x in RR :-1 le xle 1} =B. Show that, the mapping f:A rarr B de...

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  20. Let A={x in RR:-1 le x le 1} =B. Prove that , the mapping from A to B ...

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