Home
Class 11
MATHS
If f(x) =x^(2) - 4x+5 then the range is...

If `f(x) =x^(2) - 4x+5` then the range is:

A

`[1,infty)`

B

`[5,infty)`

C

`(5,infty)`

D

R

Text Solution

Verified by Experts

The correct Answer is:
A
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

If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2 , then the range f(x) is contained in the interval :

If A = {1, 2, 3, 4} and f: A to R is a function defined by f(x) = (x^(2) -x+1)/(x+1) then find the range of f.

Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|x|)/(x) for x in A. Then the range of f is

Let A={x in R: x != 0, -4 le x le 4} and f: A rarr R is defined by f(x)=(|x|)/(x) for x in A . Then the range of f is

If R is the set of all real numbers and if f: R -[2] to R is defined by f(x)=(2+x)/(2-x) for x in R-{2} , then the range of is:

Statement 1 : If x in [1, sqrt(3)] then the range of f(x)=tan^(-1)x is [pi//4, pi//3] . Statement 2 : If x in [1, b] then the range of f(x) is [f(a), f(b)]

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. If e^(x) + e^(f(x)) =e, then domain of f(x) is:

    Text Solution

    |

  2. If f: R^(+) to B such that f(x) =x^(2) + 4x + 5 is a bijection, B=

    Text Solution

    |

  3. If f(x) =x^(2) - 4x+5 then the range is:

    Text Solution

    |

  4. The range of x^(2)+4y^(2)+9z^(2)-6yz-3xz-2xy is

    Text Solution

    |

  5. If a^(2)+b^(2)+c^(2)=2 then the range of ab+bc+ca is

    Text Solution

    |

  6. The range of (x^(2))/(1+x^(2)) is

    Text Solution

    |

  7. The range of the function f(x)=(x^(2))/(x^(4)+1) is

    Text Solution

    |

  8. The range of the function: f(x) =(1-tanx)/(1+tanx) is:

    Text Solution

    |

  9. The range of f(x)=(sinpi[x^(2)-1])/(x^(4)+1) is

    Text Solution

    |

  10. If f:Rrrarr RR and g: RR rarr RR are defined by f(x)=|x| and g(x)=[x-3...

    Text Solution

    |

  11. If f:RR rarr RR is defined by f(x)=[(x)/(2)] for x in RR, where [y] de...

    Text Solution

    |

  12. Range of f(x) =[sin x] is A, Range of f(x) = [tan x] is B then A cap B...

    Text Solution

    |

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

    Text Solution

    |

  14. The range of [x] -x is A and x-[x] is B then A cap B =

    Text Solution

    |

  15. If f : R to R is defined by f(x) = [2x]-2[x] for x in R, where [x] is...

    Text Solution

    |

  16. The range of sin log [(sqrt(4-x^(2))/(1-x))] is

    Text Solution

    |

  17. Let f(x) = sinx and g(x) = log|x|.If the ranges of composite functions...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |