Home
Class 12
MATHS
Let A = {0,1,2,3,4} and f:A to ZZ be def...

Let A = {0,1,2,3,4} and `f:A to ZZ` be defined by `f(x) = x^2 -5x+2,` find
the range of f.

Text Solution

Verified by Experts

The correct Answer is:
range of `f={2,-2,-4}`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple choice question|28 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find pre-images of (-2), 1 and 2.

Let A= {-1, 0,1,2,3} and f: A to ZZ be given by f(x) =x^(2) -5x+7, where ZZ is the set of integers, then per-image of 7 is-

Let A = {-2,-1,0,1,2} and f:A to ZZ be defined by f(x) = 2x+1 for all x in A . Find f as a set of ordered pairs and find its range.

Let f:RtoR be defined by f(x)=x/(1+x^2),x inR . Then the range of f is

Let A = {-1, 0, 1, 2, 3} and f: A rarrZZ be given by f(x)=x^2-5x+7, where ZZ is the set of integers. Find the range of f.

Let X={0,-1,1,2,-2}and Y={0,1,2,3,4,6}f: XrarrY be defined as f(x)=x^2+x for all x in X find the range of f.also find f(A) where A={0,-1,-2}.

Let A = {-1, 0, 1, 2, 3} and f: A rarrZ be given by f(x)=x^2-5x+7, where Z is the set of integers. Find pre-images of 1, 4 and 7 under f.

If f : R to R is defined by f (x) =x ^(2) - 3x + 2, find f (f (x)).

Let A ={-3, -2, -1, 0,1,2} and ZZ be the set of integers. If f: A to ZZ be defined by f(x)=x^(2) -10, then the range of f is-

Let A={-2,-1,0,1,3/2 ,2},B={-6,-5,-3,0,3,4} and f:AtoB be defined by f(x)=2x^2+x-6. Find f(A). Is f(x) = B?

CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. A={-2,-1,0,1,2},B={5,7,11} and f:AtoB,where f(x)=x^2-x +5,then find th...

    Text Solution

    |

  2. Let A = {-2,-1,0,1,2} and f:A to ZZ be defined by f(x) = 2x+1 for all ...

    Text Solution

    |

  3. Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find...

    Text Solution

    |

  4. Let A = {0,1,2,3,4} and f:A to ZZ be defined by f(x) = x^2 -5x+2, find...

    Text Solution

    |

  5. Let A={-2,-1,0,1,3/2 ,2},B={-6,-5,-3,0,3,4} and f:AtoB be defined by f...

    Text Solution

    |

  6. Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). F...

    Text Solution

    |

  7. Let t the function f:RR to RR be defined by, f(x)=a^x(a gt0 ,a ne1). F...

    Text Solution

    |

  8. Let A={0,1},B={2,6},andf:A to B be given by, f(x) =6-4x and g:A to B b...

    Text Solution

    |

  9. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  10. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  11. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  12. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  13. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

  14. Show that, f={(1,1),(-1,-5),(2,4),(3,7)} defines a mapping. If this ma...

    Text Solution

    |

  15. If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=...

    Text Solution

    |

  16. Let f be subset of ZZxxZZ such that f={(xy,x-y):x,y inZZ} is f a mappi...

    Text Solution

    |

  17. If A={1,2,3,4,5}, show that the relation f={(x,y):x+y=6} for all x,y i...

    Text Solution

    |

  18. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  19. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |

  20. Let A = {1,2,3,4} and B = {7,8,9} , then which of the following relati...

    Text Solution

    |