Home
Class 11
MATHS
State whether the following relations ar...

State whether the following relations are functions or not. If it is a function check for one- to- oneness and ontoness. If it is not a function state why?
If X = { x,y,z } and f= {(x,y) (x,z) (z,x) } : (f: X `to` X)

Promotional Banner

Topper's Solved these Questions

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.|1 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.4|8 Videos

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 1.2|15 Videos

  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos

  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise CHOOSE THE CORRECT ANSWER|62 Videos

Similar Questions

Explore conceptually related problems

State whether the following relations are functions or not. If it is a function check for one- to- oneness and ontoness. If it is not a function state why? If A= {a,b,c} and f= {(a,c) (b,c) (c,b)}: (f:A to A).

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

Check whether the following statement is true or not. Id x, y in Z are such that x and y are odd, then xy is odd.

Check whether the following functions are one to one and onto (ii): Ncup(-2,-1, 0)toN defined by S(x) = x +3.

Write the truth table for the logical function Z=(X and Y)or X.

Check whether the following for one-to-oneness and ontoness. (i) f: R to R" defined by f(x)="1/x (ii) f: R-{0}" defined by f(x)"=1/x .

Find the domain and range of the function f(x)=(x^2)/(1+x^2) . Is the function one-to-one?

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

Show that the function f: R toR. defined as f (x) =x ^(2), is neither one-one nor onto.

PREMIERS PUBLISHERS-SETS,RELATIONS AND FUNCATIONS-SOLUTION TO EXERCISE 1.3
  1. Write the values of f at -3,5,2,-1,0 if f(x)={(x^(2)+x-5, if," "x in(-...

    Text Solution

    |

  2. State whether the following relations are functions or not. If it is a...

    Text Solution

    |

  3. State whether the following relations are functions or not. If it is a...

    Text Solution

    |

  4. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

    Text Solution

    |

  5. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

    Text Solution

    |

  6. Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B f...

    Text Solution

    |

  7. Find the domain of (1)/(1-2sinx).

    Text Solution

    |

  8. Find the largest possible domain of the real valued function f(x) = (s...

    Text Solution

    |

  9. Find the range of the function (1)/(2cosx-1).

    Text Solution

    |

  10. Show that the relation xy = -2 is a function for a suitable domain. Fi...

    Text Solution

    |

  11. Let f and g be two functions from R to R defined by f (x) = 2x + 3 and...

    Text Solution

    |

  12. If f and g are real valued functions define by f(x)=2x-1 and g(x)=x^(2...

    Text Solution

    |

  13. If : RR to RR is defined by f(x) = 3x-5, prove that f is a bijection a...

    Text Solution

    |

  14. The weight of the muscles of a man is a function of his body weight x ...

    Text Solution

    |

  15. The distance of an object falling is a function of time t and can be e...

    Text Solution

    |

  16. The total cost of airfare on a given route is comprised of the base co...

    Text Solution

    |

  17. A salesperson whose annual earnings can be represented by the function...

    Text Solution

    |

  18. The function for exchanging American dollars for Singapore Dollar on a...

    Text Solution

    |

  19. The owner of a small restaurant can prepare a particular meal at a cos...

    Text Solution

    |

  20. The formula for converting from Fahrenheit to Celsius temperatures is ...

    Text Solution

    |