Home
Class 11
MATHS
If f: A to A is defined by f(x) =x^(3), ...

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

A

only one-one

B

only onto

C

bijection

D

not a function

Text Solution

Verified by Experts

The correct Answer is:
C
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

If f: R to R defined by f(x) ={{:(2x+5, if, x gt 0),(3x-2, if, x le 0):} then f is

If f:A rarr R is defined by f(x)=cosx-x(1+x) and A={x:(pi)/(6)le x le(pi)/(3)} then range of f is

If f: [0,3] to [0,3] is defined by: f(x) = {{:(1+x,0 le x le 2),(3-x, 2 lt x le 3):} , then show that f[0,3] sube [0,3] and find fof.

If the function f : R to R, defined by f(x) = {{:(5-3x " , if" x le (5)/(3) ) , (" " ", then 'f' is "), (x^(2) - 3x + 20 ", if " x gt (5)/(3)):}

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

If the function f is defined by f(x) = {{:(x+2, x gt 1),(2, -1 le x le 1),(x-1, -3 lt x lt -1):} , then find the value of: (i) f(3), (ii) f(0), (iii) f(-1.5) , (iv) f(2) + f(-2) , (v) f(-5)

Suppose f:[-2, 2] rarr RR is defined by f(x)={{:(-1" for "-2 le x le 0),(x-1" for "0le xle 2):} , then {x in [-2, 2]: x le 0 and f(|x|)=x}=

AAKASH SERIES-FUNCTIONS -EXERCISE -I
  1. f: N to A where N is the set of natural numbers and A is the set of e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Set A has 3 elements. Set B has 4 elements. The number of surjections ...

    Text Solution

    |

  15. If A = {a(1),a(2), ……,a(10)} and B = {b(1),b(2),b(3),…….b(10)} then th...

    Text Solution

    |

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

    Text Solution

    |

  17. If A, B are two sets such that n(A) = 100, n(B) = 150, then the number...

    Text Solution

    |

  18. A = {1, 2, 3, 4), B = {a, b, c, d, e}, then the number of all possible...

    Text Solution

    |

  19. If A = {1, 2, 3, 4} then the number of binary operations that can be d...

    Text Solution

    |

  20. If A ={a,b,c} then the number of functions that can be defined from A ...

    Text Solution

    |