Home
Class 11
MATHS
Consider a rule f(x)=2x-3 associating el...

Consider a rule `f(x)=2x-3` associating elements of `NN` (set of natural numbers) to elements of `NN`. Is it a function?

Text Solution

Verified by Experts

`f(x)=2x-3`
`for x=1`
`f(1)=-1`
as `1in `domain but 1 `notin `codomain
So it is not a function.
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|255 Videos

Similar Questions

Explore conceptually related problems

Consider function f(x)=2x+3x^(2/3)

prove that a function f = {(x,2x+1) : x in N} defined on the set of natural numbers NxxN is one - one function.

The function f:NtoN,N being the set of of natural numbers, defined by f(x)=2x+3 is

In how any different ways can a set A of 3n elements be partitioned into 3 subsets of equal number of elements? The subsets P,Q,R form a partition if P uu Q uu R=A,P nn R=phi,Q nn R=phi,R nn P=phi

Let f be a function from the set of natural numbers to the set of even natural numbers given by f(x)=2x. Then f is

The number of one-one functions from a set containing 2 elements to a set containing 3 elements is:

Consider the function f(x)=(x-1)^(2)(x+1)(x-2)^(3). What is the number of points of local minima of the function f(x)? What is the number of points of local maxima of the function f(x)?

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. Let f\ be a relation on the set NN of natural numbers defined by f={(...

    Text Solution

    |

  2. Let f be the subset of Z xxZ defined by f" "=" "{(a b ," "a" "+" "b)" ...

    Text Solution

    |

  3. Consider a rule f(x)=2x-3 associating elements of NN (set of natural n...

    Text Solution

    |

  4. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...

    Text Solution

    |

  5. Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...

    Text Solution

    |

  6. Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...

    Text Solution

    |

  7. Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...

    Text Solution

    |

  8. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

    Text Solution

    |

  9. Let f" "=" "{(1,1)," "(2," "3)," "(0, 1)," "(1," "3)} be a function fr...

    Text Solution

    |

  10. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

    Text Solution

    |

  11. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

    Text Solution

    |

  12. Find domain and range of function Let A={-2;-1;0;1;2} and f:A->Z be gi...

    Text Solution

    |

  13. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  14. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

    Text Solution

    |

  15. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  16. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |

  17. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  18. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

    Text Solution

    |

  19. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

    Text Solution

    |

  20. Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}andf = {(1, 5), (2, 9...

    Text Solution

    |