Home
Class 12
MATHS
The range of the fuction f(x)=x^(2)+2x+2...

The range of the fuction `f(x)=x^(2)+2x+2` is

A

`(1,oo)`

B

`(2,oo)`

C

`(0,oo)`

D

`[1,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
Given, `f(x)=x^(2)+2x+2`
`=x^(2)+2x+1+1=(x+1)^(2)+1 ge1`
so, the range of `f(x)` is `[1,oo)`.
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET 03

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PAPER 2 (MATHEMATICS)|49 Videos

  • PRACTICE SET 05

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathematics)|50 Videos

Similar Questions

Explore conceptually related problems

Find the range of the fuction f(x) = x^(2) - 2x -4

Find the range of the function f(x)=x^(2)-2x-4

The range of the function f(x)=(x-2)/(2-x) is

The range of the function f(x)=(x^(2)-2)/(x^(2)-3) is

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

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

The range of the function f(x)=(x^(2)-x)/(x^(2)+2x)

Range of the function f(x)=(x+2)/(|x+2|) is

The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 04-PAPER 2 (MATHMATICS)
  1. If A={4^(n)-3n-1:n in N) and B={9(n-1):n in N} then

    Text Solution

    |

  2. x^(2)=xy is a relation which is

    Text Solution

    |

  3. The range of the fuction f(x)=x^(2)+2x+2 is

    Text Solution

    |

  4. The sum of 0.2+0.22+0.222+. . . . To n terms is equal to

    Text Solution

    |

  5. Circle(s) touching x-axis at a distance 3 from the origin and having a...

    Text Solution

    |

  6. If A=[(cosx,sinx),(sinx,-cosx)] and A("adj "A)=lamda[(1,0),(0,1)], the...

    Text Solution

    |

  7. int(0)^(pi//2)(cosx)/((1+sinx)(2+sinx))dx is equal to

    Text Solution

    |

  8. If f(y)=e^y,g(y)=y,y>0, and F(t)=int0^t f(t-y)g(y) dy, then

    Text Solution

    |

  9. The solution of the differential equation (dy)/(dx)=(4x+y+1)^(2), is

    Text Solution

    |

  10. If xsin((y)/(x))dy=[ysin((y)/(x))-x]dx and y(1)=(pi)/(2), then the val...

    Text Solution

    |

  11. Find the differential equation of system of cocentric circles with cen...

    Text Solution

    |

  12. If tan((alphapi)/(4))=cot((betapi)/(4)), then

    Text Solution

    |

  13. Angles A, B, C of a deltaABC are in AP and b : c = sqrt3 : sqrt2, th...

    Text Solution

    |

  14. IF alpha,beta are the roots of the equation 6x^(2)-5x+1=0, then the va...

    Text Solution

    |

  15. If one of the lines of m y^2+(1-m^2)x y-m x^2=0 is a bisector of the a...

    Text Solution

    |

  16. intsqrt(1-cosx)dx=?

    Text Solution

    |

  17. Find the area bounded by the y-axis, y=cosx ,a n dy=sinxw h e n0lt=xlt...

    Text Solution

    |

  18. The derivative of sinx^(3) w.r.t. cosx^(3) is

    Text Solution

    |

  19. If f(x)=|x|^(3), then f'(0) equals

    Text Solution

    |

  20. Shaded region is represented by

    Text Solution

    |