Home
Class 11
MATHS
Lett f: R rarr R be defined by f(x)=1-|x...

Lett f: `R rarr R` be defined by f(x)=1-|x|. Then the range of f is

A

R

B

`(1, infty)`

C

`(-1,infty)`

D

`(-infty,1]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise Exercise -1.4|4 Videos
  • SAMPLEPAPER - 15 (UNSOLVED)

    FULL MARKS|Exercise Part - IV (IV. Answer all the questions.)|7 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

Similar Questions

Explore conceptually related problems

Let f: RR to RR be defined by f(x)=1 -|x|. Then the range of f is

Let f:Rto"be defined by"f(x)=1absx. Then the range of f is

If : RtoR is defined by f(x) = |x| - 5, then the range of f is :

If f : R to R is defined by f (x) = |x| -5, then the range of f is ……………

If A = {5,6,7}, B = { 1,2,3,4,5} and f : A rarr B is defined by f(x) = x -2, then the range of f is ......... .

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

Let f: R to R be defined by f(x)=(x)/(1+x^(2)), x in R. Then, the range of f is (A) [-(1)/(2),(1)/(2)] (B) (-1,1)-{0} (C) R-[-(1)/(2),(1)/(2)] (D) R-[-1,1]

Let f: RtoR be defined by fx) = 2 – [x]. The range of f is:

FULL MARKS-SETS, RELATIONS AND FUNCTIONS-Exercise -1.5
  1. Let A and B be subsets of the universal set NN, the set of natural num...

    Text Solution

    |

  2. The number of students who take both the subjects Mathematics and Chem...

    Text Solution

    |

  3. If n[(AxxB)nn(Bxxc)=3,and n(BnnC)=2 then n(A) is ........................

    Text Solution

    |

  4. If n (A) = 2 and n (B cupC) =3 then n [(AxxB) cup (AxxC)] is

    Text Solution

    |

  5. If two sets A and B have 17 elements in common, then the number of ele...

    Text Solution

    |

  6. For non-empty sets A and B, if A sub B "then" (AxxB ) cap (BxxA) is eq...

    Text Solution

    |

  7. The number of relations on a set containing 3 elements is

    Text Solution

    |

  8. Let R be the universal relation on a set X with more than one element....

    Text Solution

    |

  9. Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3...

    Text Solution

    |

  10. The range of the function (1)/(1-2 sinx ) is

    Text Solution

    |

  11. The range of the function f(x) = ||x| -x|,x in RR is

    Text Solution

    |

  12. The rule f(x) = x^(2) is a bijection if the domain and the co-domain a...

    Text Solution

    |

  13. The number of relations form a set containing melements to a set conta...

    Text Solution

    |

  14. The function f : [0,2pi] to 1 [-1,1] defined by f(x) = sin x is

    Text Solution

    |

  15. If the function f : [-3,3] to S defined by f(x) = x^(2) is onto, then ...

    Text Solution

    |

  16. Let X = { 1,2,3,4}, Y = {a,b,c,d} and f={(1,a), (4,b), (2,c),(3,d),(2,...

    Text Solution

    |

  17. The inverse of f(x) = {(x,if,xlt1),(x^(2),if,1lt=xlt=4"is"),(8sqrt(x),...

    Text Solution

    |

  18. Lett f: R rarr R be defined by f(x)=1-|x|. Then the range of f is

    Text Solution

    |

  19. The function f: R rarr R is defined by f(x)= sin x+ cos x is ............

    Text Solution

    |

  20. The function R rarr R is defined by f(x)=cosx is .............

    Text Solution

    |