Home
Class 11
MATHS
Let A={1,2,3,4} B={1,5,9,11,15,16} and f...

Let `A={1,2,3,4}` `B={1,5,9,11,15,16}` and `f={(1,5),(2,9),(3,1),(4,5),(2,1)}`. State with the reason whether f is a relation or a function.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|215 Videos

  • SEQUENCES AND SERIES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|238 Videos

Similar Questions

Explore conceptually related problems

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? F is a function from A to B. Justify your answer.

Let A={1,2,3,4}.Consider the following relations of A, R1={(1,2),(2,3),(3,4),(4,1)} , R2={(1,1),(1,2),(1,3),(1,4)} , R3={(1,1),(2,1),(3,1),(4,1)} , R4={(1,2),(3,4),(4,1)} . State whether or not each of these relations is a function of A into A.

f:{1,2,3,4}to{5} defined by f={(1,5),(2,5),(3,5),(4,5)} . Does the function is invertible?

Let A={1,2,3} , B={4,5} Find AxxB and BxxA

Let A={1,2,3,4} and B={5,7,9}. Is AxxB=BxxA ?

If f={(2,5),(3,1),(5,2),(8,5),(10,2),(11,5)} is a function,write its range.

Let f = {(1,1),(2,8),(3,27),(4,64),} be a function write a formula for f (x)

Let A={1,2,3,4} and B={5,7,9}. Is n(AxxB)=n(BxxA) ?

Let A = {1, 2, 3}, B { 4, 5, 6} and let f = {(1,4),(2,5)(3,6)} be a function from A to B. Show that f is one-one.

If 'U={1,3,5,7,9,11,13,15}, A={1,5,11,13 , 15}', Find A'.

A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Find the domain and the range of the functions f(x) = x^3

    Text Solution

    |

  2. Let f(x) = x^2 - 2x + 3. Then find f (f (x) )

    Text Solution

    |

  3. If f (x) =1/(1 - x) , show that f(f(f(x))) = x

    Text Solution

    |

  4. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

    Text Solution

    |

  5. If f (x) = x^3 + 1 and g (x) = x + 1, find f + g, f - g, af (a in R),f...

    Text Solution

    |

  6. The relation f is defined by f (x) = {(x^2, 0 le x le 3)/(3x, 3 le x l...

    Text Solution

    |

  7. If f(x)=x^2, find (f(1.1)-f(1))/((1.1-1))

    Text Solution

    |

  8. Find the domain of the following. f(x)=(x^2+2x+1)/(x^2-8x+12)

    Text Solution

    |

  9. Find the domain and range of the following functions. f(x)=sqrt(x-...

    Text Solution

    |

  10. Find the domain and the range of the real function f defined by f (x) ...

    Text Solution

    |

  11. Let f={(x,x^2/(1+x^2)),x in R} be a real function from R to R. Deter...

    Text Solution

    |

  12. Let f,g: R rarr R be defined, respectively by f (x) = x + 1,g (x) = 2...

    Text Solution

    |

  13. Let f = {(1,1), (2,3),(0, -1), (- 1, - 3)} be a function from Z to Z d...

    Text Solution

    |

  14. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

    Text Solution

    |

  15. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

    Text Solution

    |

  16. Let R be a relation from N to N defined by R = {(a,b) in N and a = b^2...

    Text Solution

    |

  17. Let A={1,2,3,4} B={1,5,9,11,15,16} and f={(1,5),(2,9),(3,1),(4,5),(2,1...

    Text Solution

    |

  18. Let A = {1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5),(2,9),(3,1),(4...

    Text Solution

    |

  19. Let f be the subset of Z xx Z defined by f = {(ab, a + b) : a,b in Z} ...

    Text Solution

    |

  20. Let A = {9,10,11,12,13} and let f : A rarr N be defined by f (n) = the...

    Text Solution

    |