Home
Class 11
MATHS
Let f = {(1, 2), (2, 3), (0, 1), ( 1, ...

Let `f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}`be a linear function from Z into Z. Find f(x).

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(b)|14 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Frequently Asked Questions|17 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let f = {(1, 1),(2,3),(0,-1), (-1,-3)} be a linear function from Z into Z, then f(x) =

Let f {(1,1), (2,4), (0,-2), (-1,-5)} be a linear function from Z into Z. Then, f (x) is

let f={(1,1),(2,3),(0,-1),(-1,-3)} be a linear function from the set {1,2,0,-1}. Find f(X).

If f={(1,1),(2,3),(3,5),(4,7)} , is a linear function from Z to Z , then find f(x).

Let f={(0,-5),(1-2),(2,1),(3,4),(4,7)} be a linear function from Z into Z. Write an expression for f.

Let f={(1,1),(2,3),(0,-1),(-1,-3)} be a function from Z to Z defined by f(x)=ax+b for some integers a,b.Determine a,b.

let f={(1,1),(2,3),(0,-1),(-1,-3)} be a function from Z to Z defined by f(x)=ax+b for some integer a and b. Determine a and b

If f={(0,-1),(-1,-3),(2,3),(3,5)} is a function from z to z defined by f(x)=ax+b . Then,

If f is a linear function and f(2)=4,f(-1)=3 then find f(x)

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. Which of the following relations are functions? Give reason. If it is ...

    Text Solution

    |

  2. Let N be the set of natural numbers. Define a real valued function ...

    Text Solution

    |

  3. Let f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}be a linear function from...

    Text Solution

    |

  4. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

    Text Solution

    |

  5. Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...

    Text Solution

    |

  6. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

    Text Solution

    |

  7. If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.

    Text Solution

    |

  8. If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...

    Text Solution

    |

  9. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

    Text Solution

    |

  10. If f(x)=loge((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))

    Text Solution

    |

  11. माना f:R rarr R एक फलन इस प्रकार परिभाषित है, कि f(x)={:{(3x-1, " ...

    Text Solution

    |

  12. For the relation y= + sqrtx, say whether it is a function or not. If i...

    Text Solution

    |

  13. Find the domain and range of the following functions: (i) f(x) = sqr...

    Text Solution

    |

  14. The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] d...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the range of the following function: f(x) = (1)/((2x-3) (x+1))

    Text Solution

    |

  17. Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)

    Text Solution

    |

  18. Which of the following functions are odd or even or neither: (i) f(x...

    Text Solution

    |

  19. The period of x-[x] where [x] represents the integral part of x is

    Text Solution

    |

  20. Solve: [2x-3]=5

    Text Solution

    |