Home
Class 11
MATHS
If f: D to R be the function with domain...

If `f: D to R` be the function with domain:
`D={x: -pi/2 lt x lt pi/2}` and f(x) = 3+4x, R being the set of all real, then which one of the following statement is correct ?

A

f is not one-one but onto on R

B

f is one-one but not onto on R

C

f is one-one as well as onto on R

D

f is neither one-one nor onto on R

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 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

The range of the function f(x) = cos[x] where -pi/2 lt x lt pi/2 is

Let f(x) be twice differentiable function for all real x and f(1) = 1, f(2) = 4 , f(3) = 9. Then which one of the following statements is definitelly true ?

If f : R to R be a function defined by f (x) = max {x,x^(3)}, find the set of all points where f (x) is not differentiable.

Show that the function f : R to R {x in R : -1 lt x lt 1} defined by f (x) = (x)/(1 + |x|), x in R is one one and onto function.

Let f and g be two diffrentiable functions on R such that f'(x) gt 0 and g'(x) lt 0 for all x in R . Then for all x

Observe the following statements: Assertion(A) : If -(pi)/(2) lt theta lt (pi)/(2) and x=log_(e ) ((1+sin theta)/(cos theta)) then sinhx=tan theta Reason (R ) : For -(pi)/(2) lt theta lt (pi)/(2) , the value of sec theta is positive. Then the true statement among the following is

If f: R to R defined by f(x) =x for x ge 2 and f(x) =5x-2 for x lt 2 , then f is:

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. Let f(x) = sinx and g(x) = log|x|.If the ranges of composite functions...

    Text Solution

    |

  2. If f from [-1,1] into [-1,1] defined by f(x) =3x-5 then f is:

    Text Solution

    |

  3. If f: D to R be the function with domain: D={x: -pi/2 lt x lt pi/2} ...

    Text Solution

    |

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

    Text Solution

    |

  5. If f: R to R is defined by f(x) =x+ sqrt(x^(2)), then f is:

    Text Solution

    |

  6. A={x:-1 le x le 1}, f: A to A defined by f(x) =x|x|. Then f is:

    Text Solution

    |

  7. If f(x)=|x-1|+|x-2|+|x-3|,2 lt x lt 3, then f is

    Text Solution

    |

  8. y=f(x) =x/(1+|x|), x in R, y in R is

    Text Solution

    |

  9. f: R to R is a function defined by f(x) =(e^(|x|) -e^(-x))/(e^(x) + e^...

    Text Solution

    |

  10. If f: R to R defined by f(x) =(e^(x^(2)) -e^(-x^(2)))/(e^(x^(2)) +e^(-...

    Text Solution

    |

  11. If f:[0,1] to [-1,3] defined by f(x) =x^(2)+x+1, then f is

    Text Solution

    |

  12. If f: R to R defined by f(x) =x^(2)-2x-3, then f is:

    Text Solution

    |

  13. If f:R rarr(0, 1] is defined by f(x)=(1)/(x^(2)+1), then f is

    Text Solution

    |

  14. If f: R to R is defined by f(x)=(x^(2)-4)/(x^(2)+1), then f(x) is

    Text Solution

    |

  15. Which of the following functions is not injective ?

    Text Solution

    |

  16. The function f: R to R defined by f(x) =x-[x], AA x in R is

    Text Solution

    |

  17. f: R^(+) to R defined by f(x) =2^(x) , x in (0,1), f(x) =3^(x), x in [...

    Text Solution

    |

  18. f: R^(+) to R defined by f(x) = log(e)x, x in (0,1), f(x) =2 log(e) x,...

    Text Solution

    |

  19. Statement -I: f: A to B is one -one and g: B to C is a one-one functio...

    Text Solution

    |

  20. Observe the following Lists: Then the match for List -1 from Lis...

    Text Solution

    |