Home
Class 12
MATHS
Show that, f={(1,1),(-1,-5),(2,4),(3,7)}...

Show that, `f={(1,1),(-1,-5),(2,4),(3,7)}` defines a mapping. If this mapping is described by the rule f(x) = px+q, then what valued should be assigned to p and q?

Text Solution

Verified by Experts

The correct Answer is:
p=3,q = -2
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

Show that, f = {(1, -6),(2, -1),(3, 4),(4, 9)} defines a mapping. If this mapping is described by the rule f(x)=ax+b , then what values should be assigned to a and b ?

If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rule f(x) =px+q, then the values of p and q are-

If the mapping {(1,2),(-1,6),(2,3),(3,6) is descibed by the rule f(x)=ax^2 +bx+c , then find the assigned values of a, b and c.

A function f is define by f(x)=3x^3+4 . Write the values of f(-1)

A mapping f is defined : f:(x,y)rarr (x+y,x-y) then f(-1,-2) is equal to

If the straight line y= 4x -5 touches the curve y^(2) = px^(3) + q at (2, 3), then the values of p and q are-

If A= {-2,1,0,-1,2}, B={-6,-5,-3,0,3} and the mapping f:A to B is defined by f(x)=2x^2+x-6, state which of the following is the image of (-2) ?

Let A={0,1,2,3,4} and ZZ be the set of integers. If the mapping f:Ato ZZ be defined by f(x) =x^2-5x+2 , state which of the following is the pre-image of 2?

The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

CHHAYA PUBLICATION-RELATION AND MAPPING -Very short answer type questions
  1. Find the image set of the domain of each of the following functions : ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2, then f...

    Text Solution

    |

  12. Given y = 4 for all real values of x, Can y be regarded as a function ...

    Text Solution

    |

  13. The volume of an open tank with a square base of side x m is 40m^3. Ex...

    Text Solution

    |

  14. Given f(x) = 3x - 9 , find f(-1), f(3), f(x+h) and f(x^2-1).

    Text Solution

    |

  15. If f(x-1) = 7x - 5 find f(x) and f(x+2).

    Text Solution

    |

  16. If f(x+3) = 2x^2-3x-1, find the value of f(x+1).

    Text Solution

    |

  17. Given f(x+2)=x^2-6x+2, find f(0), f(2), f(-2) and f(x).

    Text Solution

    |

  18. If 2f(x)+3f(-x)=15-4x , prove that, f(x)=3+4x.

    Text Solution

    |

  19. If 3f(x) +2f (-x) =5 (x-2) then the value fo f(1) is-

    Text Solution

    |

  20. If f(x)=2x^2-3x+5, find f(a+h) and (f(a+h)-f(a))/(h)

    Text Solution

    |