Home
Class 12
MATHS
Give an example of a function which is S...

Give an example of a function which is Surjective but not injective.

Text Solution

Verified by Experts

f(x) = sinx
` R rarr [-1,1]`
which is surjective but not injective.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos
  • RELATIONS AND FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

Give an example of a function which is bijective

Give an example of a function which is injective but not surjective.

Give an example of a function which is one-one but not onto.

Give an example of a function which is onto but not one-one.

Give an example of a function which is neither injective nor surjective.

Give an example of emulsion.

Give an example of emulsion.

Give an example of a function which is neither one-one nor onto

MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. Show that f(x)=a^x "on" R.(a gt 0 "and" a != 1) functions are injectiv...

    Text Solution

    |

  2. Show that functions f and g defined by f(x)=2 log x and g(x)=log x^2 a...

    Text Solution

    |

  3. Give an example of a function which is Surjective but not injective.

    Text Solution

    |

  4. Give an example of a function which is injective but not surjective.

    Text Solution

    |

  5. Give an example of a function which is neither injective nor surjectiv...

    Text Solution

    |

  6. Give an example of a function which is bijective

    Text Solution

    |

  7. Prove that {1,2,3,4,5,6,……} set are equivalent.

    Text Solution

    |

  8. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

    Text Solution

    |

  9. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

    Text Solution

    |

  10. Prove that the following sets are equivalent {1, 2, 3, 4, 5, 6.....}...

    Text Solution

    |

  11. Let f={(1,a),(2,b),(3,c),(4,d)} and g={(a,x),(b,x),(c,y),(d,x)} Determ...

    Text Solution

    |

  12. Let f= {(1,3),(2,4),(3,7)} and g ={(3,2),(4,3),(7,1)} Determine gof ...

    Text Solution

    |

  13. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domains of f and g.

    Text Solution

    |

  14. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find th...

    Text Solution

    |

  15. "Let" f(x) =sqrtx "and" g(x) = 1 -x^2.Find natural domain of h(x) = 1-...

    Text Solution

    |

  16. Let f(x) = sqrt(x) and g(x) = 1 -x^(2). Show that hgof only on R(0)=...

    Text Solution

    |

  17. Find the composition fog and gof and test whether fog = gof when f and...

    Text Solution

    |

  18. Find the composition fog and gof and test whether fog = gof when f and...

    Text Solution

    |

  19. Find the composition fog and gof and test whether fog = gof when f and...

    Text Solution

    |

  20. Find the composition fog and gof and test whether fog = gof when f and...

    Text Solution

    |