Home
Class 10
MATHS
In each of the following cases state whe...

In each of the following cases state whether the functions is bijective or not. Justify your answer:
`f:R to R defined by `f(x)=2x+1`

Text Solution

Verified by Experts

The correct Answer is:
Bijective function
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Exercise 1.5|14 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Exercise 1.6 (Multiple choice questions)|15 Videos
  • RELATIONS AND FUNCTIONS

    NCERT TAMIL|Exercise Exercise 1.3|13 Videos
  • REAL NUMBERS

    NCERT TAMIL|Exercise OPTIONAL EXERCISE|5 Videos
  • SETS

    NCERT TAMIL|Exercise Try This|9 Videos

Similar Questions

Explore conceptually related problems

In each of the following cases state whether the functions is bijective or not. Justify your answer: f:R to R defined by f(x)=3-4x^(2)

Check whether the following functions are one to one and onto (i) f:NtoN defined by f(x) = x +3.

Is the function f(x) = |x| differentiable at the origin. Justify your answer.

Check whether the following functions are on-to-oneness ande ontoness. (i) f: N to N" defined by f(n)="n^(2) (ii) f: R to R" defined by f(n)"=n^(2)

Which of the following functions has inverse function? a) f: ZrarrZ defined by f(x)=x+2 b) f: ZrarrZ defined by f(x)=2x c) f: ZrarrZ defined byy f(x)=x d) f: ZrarrZ defined by f(x)=|x|

Let A={1,2,3,4}, B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,11)} Are the following true? (i) f is a relation from A to B (ii) f is a function from A to B. Justify your answer in each case.

NCERT TAMIL-RELATIONS AND FUNCTIONS-Exercise 1.4
  1. Show that the function f:N toN defined by f(m)=m^(2)+m+3 is one-one fu...

    Text Solution

    |

  2. Let A={1, 2, 3, 4} and B=N, Let f:A to B be defined by f(x)=x^(3) then...

    Text Solution

    |

  3. Let A={1, 2, 3, 4} and B=N, Let f:A to B be defined by f(x)=x^(3) then...

    Text Solution

    |

  4. In each of the following cases state whether the functions is bijectiv...

    Text Solution

    |

  5. In each of the following cases state whether the function is bijective...

    Text Solution

    |

  6. Let A={-1, 1} and B={0, 2}. If the functions f:A to B defined by f(x)=...

    Text Solution

    |

  7. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  8. If the function f is defined by f(x)={(x+2," if" xgt1), (2" if" -1le...

    Text Solution

    |

  9. If the function f is defined by f(x) = {{:(x + 2,"if",x gt 1),(2,"if",...

    Text Solution

    |

  10. If the function f is defined by f(x) = {{:(x + 2,"if",x gt 1),(2,"if",...

    Text Solution

    |

  11. A function f:[-5, 9] to R is defined as follows: f(x)={(6x+1" if" -5...

    Text Solution

    |

  12. A function f : [-5,9] rarr RR is defined as follows: f(x) = {{:(6x ...

    Text Solution

    |

  13. A function f : [-5,9] rarr RR is defined as follows: f(x) = {{:(6x ...

    Text Solution

    |

  14. A function f : [-5,9] rarr RR is defined as follows: f(x) = {{:(6x ...

    Text Solution

    |

  15. The distance S an object travels under the influence of gravity in tim...

    Text Solution

    |

  16. The function 't' which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  17. The function ‘t’ which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  18. The function ‘t’ which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  19. The function ‘t’ which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |

  20. The function ‘t’ which maps temperature in Celsius (C) into temperatur...

    Text Solution

    |