Home
Class 12
MATHS
The function f:(-oo,-1) to (0, e^5] defi...

The function `f:(-oo,-1) to (0, e^5]` defined by `f(x)=e^(x^(3-3x+2))` is

A

many-one and onto

B

many-one and into

C

one-one and onto

D

one-one and into

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • QUESTION-PAPERS-2012

    BITSAT GUIDE|Exercise Mathematics (Single correct answer type:)|45 Videos
  • QUESTION-PAPERS-2014

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

The function f:(-oo,-1)rarr(0,e^(5)) defined by f(x)=e^(x^(3)-3x+2) is (a)many one and onto (b)many one and into (c)one-one and onto (d)one-one and into

Determine f^(-1)(x) , if given function is invertible. f:(-oo,1)to(-oo,-2) defined by f(x)=-(x+1)^(2)-2

Knowledge Check

  • The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

    A
    Many one and onto
    B
    Many one and into
    C
    one - one and onto
    D
    one - one and into
  • The function f : (-oo, 3] to (o,e ^(7)] defined by f (x)=e ^(x^(3)-3x^(2) -9x+2) is

    A
    Many one and onto
    B
    Many one and into
    C
    One to one and onto
    D
    One to one and into
  • The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

    A
    one-one and onto
    B
    one-one but not onto
    C
    not one-one but onto
    D
    Neither one-one nor onto
  • Similar Questions

    Explore conceptually related problems

    The function f:R^(+)rarr(1,e) defined by f(x)=(x^(2)+e)/(x^(2)+1) is

    Consider the function f : (-oo , oo) to (-oo , oo) defined by f(x) = (x^(2) - ax + 1)/(x^(2) + ax + 1) , 0 lt a lt 2 Let g (x) = underset(0) overset(e^(x))(int) (f'(t))/(1 + t^(2)) dt Which of the following is true ?

    Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2 - ax + 1)/(x^2+ax+1) ;0 lt a lt 2 . Let g(x)=int_(0)^(e^(x))(f'(t))/(1+t^(2)) dt. Which of the following is true?

    Consider the function f(-oo,oo)rarr(-oo,oo) defined by f(x)=(x^(2)-a)/(x^(2)+a), agt0 which of the following is not true?

    If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^(-1) is