Home
Class 11
MATHS
Let f : R to R be defined as f(x) = x^(4...

Let f : R `to` R be defined as f(x) = `x^(4)`. Choose the correct answer.

A

f is one -one onto (2) f is onto

B

f is onto

C

f is one - one but not onto

D

f is neither one -one nor onto

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - B)|8 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - C)|5 Videos
  • SETS RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise EXERCISE 1.5|25 Videos
  • QUESTION PAPER -19

    SURA PUBLICATION|Exercise SECTION - IV|11 Videos
  • SURAS MODAL QUESTION PAPER-1 MATHEMATICS

    SURA PUBLICATION|Exercise Section-IV|20 Videos

Similar Questions

Explore conceptually related problems

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: R-> R , be defined as f(x) = e^(x^2)+ cos x , then is (a) one-one and onto (b) one-one and into (c) many-one and onto (d) many-one and into

Let f: R to R be defined as f(x) = e^("sgn "x)+ e^(x^(2)) . Then find the range of the function, and also indentify the type of the function : one-one or many-one.

Let f:R to R be defined by f(x) =e^(x)-e^(-x). Prove that f(x) is invertible. Also find the inverse function.

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

F : R to R defined by f (x) = (1)/(2x^2 +5) the range of F is

(a) Let f,g : R to R be defined as f(x) =2x -|x| and g(x) =2x + |x| . Find fog. (b) Prove that lim_(theta to 0) (sin theta)/theta =1

SURA PUBLICATION-SETS RELATIONS AND FUNCTIONS-ADDITIONAL PROBLEMS (SECTION - A)
  1. Let f : R to R be defined as f(x) = x^(4). Choose the correct answer.

    Text Solution

    |

  2. Let f : R to R to given by f(x) = (3 -x^(3))^((1)/(3)). Then of (x) is

    Text Solution

    |

  3. Let A = {-2,-1,0,1,2} and f:A to Z be given by f(x) = x^(2)-2x-3 then ...

    Text Solution

    |

  4. Which one of the following is a finite set ?

    Text Solution

    |

  5. If sube B, then A\B is

    Text Solution

    |

  6. Given A = {5,6,7,8}. Which one of the following is incorrect?

    Text Solution

    |

  7. The shaded region in the adjoining diagram represents.

    Text Solution

    |

  8. The shaded region in the adjoining diagram represents.

    Text Solution

    |

  9. Let R be a relation on the set NN given by RR= {(a,b) : a=b-2,b gt6}. ...

    Text Solution

    |

  10. If A = {1,2,3} , B = {1,4,6,9} and R is a relation from A to B defined...

    Text Solution

    |

  11. For real numbers x and y define x\ R\ y if x - y + sqrt(2) is an irrat...

    Text Solution

    |

  12. Let R be the relation over the set of all straight lines in a plane su...

    Text Solution

    |

  13. Which of the following is not an equivalence relation on z?

    Text Solution

    |

  14. Which of the following functions from z to itself are bijections (one-...

    Text Solution

    |

  15. Let f : Z to Z be given by f(x) = {((x)/(2) if"is even"),(0 if" is od...

    Text Solution

    |

  16. If f : RtoR is given by f(x) = 3x-5, then f^(-1)(x) is

    Text Solution

    |

  17. If f (x) = 2x-3 and g(x)= x^(2) +x-2 then go f(x) is

    Text Solution

    |

  18. Let f : RR to RR be given by f(x) = x+ sqrt(x^(2)) is

    Text Solution

    |

  19. Choose the correct statement .

    Text Solution

    |

  20. Match List - I with List II {:("List I","ListII"),("i"." " {(1,1)...

    Text Solution

    |