Home
Class 11
MATHS
Let A={x in R : x ne 0, -4le xle4} and f...

Let `A={x in R : x ne 0, -4le xle4} and f:A rarrR` is defined by `f(x)=(|x|)/(x)` for `x in A.` Then the range of f is

A

`[1,-1]`

B

`{x: 0 le x le 4}`

C

{1}

D

`{x : -4 le x le 0}`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -II|165 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|12 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Let A={x in R: x != 0, -4 le x le 4} and f: A rarr R is defined by f(x)=(|x|)/(x) for x in A . Then the range of f is

f:R rarrR defined by f(x)=e^(|x|) is

The function f: R rarr R is defined by f(x)=cos^(2)x+sin^(4) x for x in R . Then the range of f(x) is

If f:A rarrR is defined as f(x)=x^(3)+1 and A={1, 2, -1, -2, 0} then the range of f is

f:R rarrR defined by f(x)=x^(3)+x^(2)-x-1. Then the inverse image set of {0} is

If f:R rarrR is defined by f(x)=(2x+1)/(3) then f^(-1)(x)=

If f:R rarrR is defined by f(x)=x^(2)+3x+2, then f(x-1)=

Let a fiunction f defined by f(x)=(x-|x|)/(x) "for" x ne0 and f(0) =2 then f is

If f:R rarrR is defined by f(x)=2x+|x| then f(2x)+f(-x)-f(x)=

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. The domain of log(x)5 is:

    Text Solution

    |

  2. If f(x) =|x/2| is a real function, then f: R to B is a surjection then...

    Text Solution

    |

  3. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  4. Domain , Range of f(x) =|x| + |x+1| are respectively:

    Text Solution

    |

  5. f and h are form A into B where A={a,b,c,d}, B={s,t,u} defined as f(a)...

    Text Solution

    |

  6. A = {1, 2, 5, 6, 11}, B = {2, -1, 1, 0, 11, 108} and f(x) x^(2)-x-2, t...

    Text Solution

    |

  7. The function f: N to N defined by f(n) =2n+3 is

    Text Solution

    |

  8. f: N to A where N is the set of natural numbers and A is the set of e...

    Text Solution

    |

  9. Define f:Z rarrZ by f(x)={{:(x//2,"(x is even)"),(0,"(x is odd)"):} th...

    Text Solution

    |

  10. If f:[0,infty) to R defined by f(x) = x^(2), then f is

    Text Solution

    |

  11. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |

  12. If f: A to A is defined by f(x) =x^(3), where A ={x//-1 le x le 1}, th...

    Text Solution

    |

  13. The function cos(3x-4) defined from R to R is:

    Text Solution

    |

  14. A is a finite set and B is a singleton set. Then f: A to B is:

    Text Solution

    |

  15. Set A has n elements. The number of functions that can be defined from...

    Text Solution

    |

  16. The number of one one functions that can be defined from {1, 2, 3, 4}...

    Text Solution

    |

  17. Let n(A) = 4 and n(B) = k. The number of all possible injections from ...

    Text Solution

    |

  18. Let n(A) = 4 and n(B) = 5. The number of all possible many-one functio...

    Text Solution

    |

  19. Set A contains 3 elements and set R contains 2 elements. The number of...

    Text Solution

    |

  20. Let A = {1, 2, 3,--------n} and B = {a, b, c], the number of functions...

    Text Solution

    |