Home
Class 11
MATHS
If the function f :(-2,2]toS is defined ...

If the function `f :(-2,2]toS` is defined by `f(x) = x^(2)` is onto then Sis:

A

[-4,4]

B

R

C

[-2,2]

D

[0,4]

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS,RELATIONS AND FUNCATIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE I. (Answer the following questions)|10 Videos
  • MATRICES AND DETERMINANTS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE .(II CHOOSE THE CORRECT OPTION FROM THE FOLLOWING)|46 Videos
  • TRIGONOMETRY

    PREMIERS PUBLISHERS|Exercise CHOOSE THE CORRECT ANSWER|62 Videos

Similar Questions

Explore conceptually related problems

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

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

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

The function f:R->[-1/2,1/2] defined as f(x)=x/(1+x^2) is

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

Let A={-1, 1} and B={0, 2} . If the functions f:A to B defined by f(x)=ax+b is an onto function? Find a and b.

If f: [-2, 2]toA is given by f(x) = 3^(3) then f is onto, if A is:

Show that the function f: R toR. defined as f (x) =x ^(2), is neither one-one nor onto.

PREMIERS PUBLISHERS-SETS,RELATIONS AND FUNCATIONS-II. Choose the correct option for the following. (M.C.Q)
  1. The largest domain for the real valued function given by f(x) =(sqrt(1...

    Text Solution

    |

  2. Let f and g be two functions from R to Rdefined by f(x) = 3x – 2 and g...

    Text Solution

    |

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

    Text Solution

    |

  4. Find the correct statement in the following: The function f(x) = x + x...

    Text Solution

    |

  5. Find the incorrect statement:

    Text Solution

    |

  6. Find the incorrect statement:

    Text Solution

    |

  7. Find the correct statement:

    Text Solution

    |

  8. Find the odd man out:

    Text Solution

    |

  9. Find the odd man out: Let A-(1,2,3,4) then

    Text Solution

    |

  10. Find the odd man out: Let X - {1,2,3,4), Y = {a,b,c,d,e)

    Text Solution

    |

  11. The set of all numbers greater than 0 is an ……..interval

    Text Solution

    |

  12. The product of an odd function and an even function is:

    Text Solution

    |

  13. Match the following: Let A -(0, 1, 2, 3) then the relations R(1), R(2)...

    Text Solution

    |

  14. Let A and B be two sets. Then A-B equals

    Text Solution

    |

  15. Find the odd one out:

    Text Solution

    |

  16. Assertion: If f, g, h are real valued functions then f(g+h)=fg+fh. Re...

    Text Solution

    |

  17. Assertion: The product of even functions an odd function is an odd fun...

    Text Solution

    |

  18. The number of reflective relations one containing n elements is:

    Text Solution

    |

  19. The number of relations from a set containi 4 elements to a set contai...

    Text Solution

    |

  20. Domain of the function y =(x-1)/(x+1)  is:

    Text Solution

    |