Home
Class 12
MATHS
f:[0,3] rarr [1,29],f(x) =2x^(3)-15x^2+3...

`f:[0,3] rarr [1,29],f(x) =2x^(3)-15x^2+36x+1` then f is ........ function.

A

One one and onto

B

One one but not onto

C

Neither one one nor onto

D

Not one one but onto

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|54 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Work|66 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

f: R rarr R , f(x) = (x-1) (x-2)(x-3) then f is ........

f: [0,oo) rarr [0,oo) , f(x) = x/(1+x) then the function f is .........

The function f:[0,3] to [1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1 is (a)one-one and onto (b)onto but not one-one (c)one-one but not onto (d)neither one-one nor onto

If f'(x)=x^(2)+5 and f(0)=-1 then f(x)=...

Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1) . If the range of this function is [-4,3], then the value of (m^(2)+n^(2))/(4) is ….

If f:R rarr [pi/6,pi/2], f(x)=sin^(-1)((x^(2)-a)/(x^(2)+1)) is an onto function, the set of values a is

The function f : R^(+) rarr R^(+), f(x) =x^3,g: R^(+)rarr R^(+),g(x) =x^(1/3) then (fog)(x) = .........

Show that f: R rarr R , f(x) = x/(x^(2)+1) is not one one and onto function.

If f: [(2,oo) rarr R be the function defined by f(x) =x^(2) - 4x +5 , then the range of f is ...........

f:(2,4)rarr(1,3),f(x) = x - [(x)/2] , where [.] is a greatest integer function then f^(-1)(x) = ......

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook based MCQs
  1. The number of onto function from set {1,2,3,4} " to " {3,4,7} is ........

    Text Solution

    |

  2. Match the Section (A) with the Section (B) properly.

    Text Solution

    |

  3. f:[0,3] rarr [1,29],f(x) =2x^(3)-15x^2+36x+1 then f is ........ functi...

    Text Solution

    |

  4. f(x,y) = (max (x,y))^((min(x,y))) and g(x,y)= max (x,y) - min (x,y) th...

    Text Solution

    |

  5. Let A = {1,2,3}. Then number of equivalence relations containing (1,2)...

    Text Solution

    |

  6. S is defined in Z by (x,y ) in S hArr |x-y| le 1. S is ........

    Text Solution

    |

  7. If S is defined on R by (x,y) inR hArr xy ge 0 . Then S is ...........

    Text Solution

    |

  8. Which of the following defined on Z is not an equivalence relation ?

    Text Solution

    |

  9. If a**b=(ab)/3 on Q^+ then the inverse of a(a ne0) for ** is ......

    Text Solution

    |

  10. The number of binary operation on {1,2,3,......,n} is ..........

    Text Solution

    |

  11. If a**b = a +b on R - {1} , then a^(-1) is ........

    Text Solution

    |

  12. For a**b = a +b + 10 on Z , the identity element is ........

    Text Solution

    |

  13. f:R-{q} rarrR -{1},f(x) = (x-p)/(x-q), p ne q , then f is .........

    Text Solution

    |

  14. Check the injectivity and surjectivity of the following function . f...

    Text Solution

    |

  15. f:[-(pi)/2,pi/2]rarr[-1,1] is a bijection , if ......

    Text Solution

    |

  16. f : R rarr R , f(x) = x^(2) +2x +3 is .......

    Text Solution

    |

  17. If a**b =a^(2) +b^(2) on Z , then ** is ..........

    Text Solution

    |

  18. If a**b = a +b - ab on Q^(+) , then the identity and the inverse of a...

    Text Solution

    |

  19. If a**b=(ab)/3 on Q^(+) , then 3**(1/5**1/2) is .......

    Text Solution

    |

  20. If Delta is defined on P(X) (X ne phi) by , A deltaB = (A cupB) - (A ...

    Text Solution

    |