Home
Class 12
MATHS
Q.16 Classify the following functions f(...

Q.16 Classify the following functions f(x) defined in `RrarrR` as injective, surjective, both or none (iv)f(x)=`x^3-6x^2+11x-6`

Text Solution

Verified by Experts

The correct Answer is:
surjective but not injective

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SCQ_TYPE|97 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise SSP|55 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Q.16 Classify the following functions f(x) defined in R rarr R as injective,surjective,both or none (iv) f(x)=x^(3)-6x^(2)+11x-6

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=x|x|

Classify the following functions f(x) defined in R to R as injective , surjective , both or none . f(x) = x^(2)

Classify the following function f(x) defined in RtoR as injective, surjective, both or none. f(x)=(x^(2))/(1+x^(2))

Classify the following functions as injective, surjective, both or none.DRbbe a function defined by X)f:Rvec R, be a function defined by f(x)= - + 48 73072 – 8x + 18fRRbe a function defined by f(x)=v3 62

f(x)=x^(3)-6x^(2)+11x-6;g(x)=x-3

Classify f:R rarr R, defined by f(x)=sin x as injection,surjection or bijection.

Classify f:R rarr R, defined by f(x)=3-4x as injection,surjection or bijection.

Classify f:R rarr R, defined by f(x)=|x| as injection,surjection or bijection.

Classify f:Z rarr Z ,defined by f(x)=x-5 as injection,surjection or bijection.

RESONANCE-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  2. Classify the following function f(x) defined in RtoR as injective, sur...

    Text Solution

    |

  3. Q.16 Classify the following functions f(x) defined in RrarrR as inject...

    Text Solution

    |

  4. Check whether the following functions is/are many-one or one-one &...

    Text Solution

    |

  5. Check whether the following functions is/are many-one or one-one &...

    Text Solution

    |

  6. Let f : A -> A where A = {x:-1<=x<= 1). Find whether the following fun...

    Text Solution

    |

  7. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  8. Let f : A -> A where A = {x:-1<=x<= 1). Find whether the following fun...

    Text Solution

    |

  9. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  10. Let A be a set of n distinct elements. Then find the total number of d...

    Text Solution

    |

  11. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  12. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  13. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  14. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  15. Find for what values of x the following functions would be identical. ...

    Text Solution

    |

  16. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

    Text Solution

    |

  17. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

    Text Solution

    |

  18. Find fog and gof if: f(x)=e^(x),g(x)=lnx

    Text Solution

    |

  19. Find fog and gof if: f(x)=|x|,g(x)=sinx

    Text Solution

    |

  20. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

    Text Solution

    |