Home
Class 10
MATHS
All one-one function are onto functions...

All one-one function are onto functions

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.1|7 Videos
  • RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise EXERCISE 1.2|5 Videos
  • NUMBERS AND SEQUENCES

    FULL MARKS|Exercise ADDITIONAL QUESTION SOLVED (III. ANSWER THE FOLLOWING).|12 Videos
  • SAMPLE PAPER - 10 (UNSOLVED)

    FULL MARKS|Exercise PART - IV|2 Videos

Similar Questions

Explore conceptually related problems

All onto functions are one-one functions

Is cubic function a one-one function ?

Is an identify function one-one function ?

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then a) f(x) is an odd function b) f(x) is a one-one function c) f(x) is an onto function d) f(x) is an even function

Define one to one function?

Let f:R->R and g:R->R be two one-one and onto functions such that they are mirror images of each other about the line y=a . If h(x)=f(x)+g(x) , then h(x) is (A) one-one onto (B) one-one into (D) many-one into (C) many-one onto

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

Is quadratic function a one-one function ?

Let f: RrarrRa n dg: RrarrR be two one-one and onto function such that they are the mirror images of each other about the line y=a . If h(x)=f(x)+g(x),t h e nh(x) is (a)one-one and onto (b)only one-one and not onto (c)only onto but not one-one (d)neither one-one nor onto

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

FULL MARKS-RELATIONS AND FUNCTIONS -ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. All one-one function are onto functions

    Text Solution

    |

  2. If A = {2,3,5} and B = {1,4} then find (i) A xx B (ii) B xx A

    Text Solution

    |

  3. If A xx B = {(a,x)(a,y),(b,x),(b,y),(c,x)(c,y)} then find A and B

    Text Solution

    |

  4. Let A = {x in w / 3 lt x lt 7 }, B = {x in N/0 lt x lt 3 }, C = {x i...

    Text Solution

    |

  5. Let A = {10,11,12,13,14} , B = {0,1,2,3,5} and f(i) : A rarr B , I = ...

    Text Solution

    |

  6. If X = {1,2,3,4,5}, Y = {1,3,5,7,9} determins which of the following r...

    Text Solution

    |

  7. A = { -2,-1,1,2} and f = { ( x , (1)/(x) ) : x in A }. Write down th...

    Text Solution

    |

  8. Let A = { 5,6,7,8} , B = {-11,4,7,-10,-7-9,-13} and f = {(x,y): y = ...

    Text Solution

    |

  9. Let A={1, 2, 3, 4, 5}, B=N and f: A to B be defined by f(x)=x^(2). Fin...

    Text Solution

    |

  10. Find the domain and range of the following (i) f = {(1,2),(2,3),(3,...

    Text Solution

    |

  11. Given P = {-2,-1,0,1} Q= {1,-2,6,-3} R = {x,y/y = x^(2) - 3 x in P...

    Text Solution

    |

  12. Given f(x) = 3x - 2 , g(x) = 2x^(2) find (i) fog and (ii) gof what d...

    Text Solution

    |

  13. If f : R rarr R is defined by f (x) = ax + 3 and g : R rarr R is def...

    Text Solution

    |

  14. Given f(x) = 3 + x : g(x) = x^(2) h(x) = (1)/(x) find fo (goh)

    Text Solution

    |

  15. If f(x) = x + 3 where A = { 4,6,8,10} B = {7,9,11,13} and f : A rarr...

    Text Solution

    |

  16. Given A = {2,3,5}, B = {1,2,3} C = {2,5}, D = {2,3,5} check if (A ...

    Text Solution

    |

  17. Study the relation given below an set builder form. Represent each of ...

    Text Solution

    |

  18. State whether the following graphs represent a founction. Give reason ...

    Text Solution

    |

  19. Let A={6,9,15,18,21}, B={1,2,4,5,6} and f : A to B be defined by f...

    Text Solution

    |

  20. Let A = {4,6,8,10} and B= {3,4,5,6,7}. If f : A rarr B is defined by...

    Text Solution

    |

  21. A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) -...

    Text Solution

    |