Home
Class 12
MATHS
A function is matched below against an i...

A function is matched below against an interval where it is supposed to be increasing. Which of the following parts is incorrectly matched? Interval, Function [2, `oo)` , `2x^3-3x^2-12 x+6` `(-oo,oo)` , `x^3=3x^2+3x+3` `(-oo-4)` , `x^3+6x^2+6` `(-oo,1/3)` , `3x^2-2x+1`

A

`{:(,"Interval,"Function"),(,-oo,-4),(,x^(3)+6x^(2)+6):}`

B

`{:(,"Interval,"Function"),(,(-oo,1/3],3x^(2)-2x+1):}`

C

`{:(,"Interval,"Function"),(,[2,oo),(,2x^(3)-3x^(2)-12x+6):}`

D

`{:(,"Interval,"Function"),(,(-oo,oo),(,x^(3)-3x^(2)+3x+3):}`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
  • DIFFERENTIAL CALCULUS 2

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|14 Videos
  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos
  • DIFFERENTIAL EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos

Similar Questions

Explore conceptually related problems

A function is matched below against an interval where it is supposed to be increasing. Which of the following parts is incorrectly matched? Interval, Function (a)[2, oo) , 2x^3-3x^2-12 x+6 (b) (-oo,oo) , x^3-3x^2+3x+3 (c) (-oo-4) , x^3+6x^2+6 (d) (-oo,1/3) , 3x^2-2x+1

Find the intervals in which f(x)=6+12 x+3x^2-2x^3 is increasing or decreasing.

Find the number of integral vaues of 'a' for which the range of function f (x) = (x ^(2) -ax +1)/(x ^(2) -3x+2) is (-oo,oo),

If the function f(x)=2x^2-k x+5 is increasing on [1,\ 2] , then k lies in the interval (a) (-oo,\ 4) (b) (4,\ oo) (c) (-oo,\ 8) (d) (8,\ oo)

The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) (b) (-1,\ oo) (c) (-oo,\ oo) (d) (0,\ oo)

For the solution of [x+2]+[x-8]>0 is ( [dot] is greatest integer function) [3,oo) 2. [4,oo) 3. [1,3] 4 . (3,4) 5. R

Show that f(x)=1/(1+x^2) decreases in the interval [0,\ oo) and increases in the interval (-oo,\ 0] .

The interval in which the function f(x) = 2 x^(3)+ 3x^(2) - 12 x + 1 is xtrictly increasing is

Show that f(x)=1/(1+x^2) decreases in the interval [0,oo) and increases in the interval (-oo,0]dot

Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2) (b) x in (2,3) x in (-oo,2)uu(3,oo) (d) x in (3,oo)

VMC MODULES ENGLISH-DIFFERENTIAL CALCULUS 2-JEE Main (Archive)
  1. The normal to a curve at P(x , y) meet the x-axis at Gdot If the ...

    Text Solution

    |

  2. A value of C for which the coclusion of mean value theorem holds for t...

    Text Solution

    |

  3. The function f(x)=x/2+2/x has a local minimum at (a) x=2 (b) x=-2 (c...

    Text Solution

    |

  4. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  5. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  6. A function is matched below against an interval where it is supposed t...

    Text Solution

    |

  7. Find the euation of normal to the curve x=a( cos theta + theta sin th...

    Text Solution

    |

  8. A spherical iron ball 10cm in radius is coated with a layer of ice of ...

    Text Solution

    |

  9. A lizard, at an initial distance of 21 cm behind an insect, moves fro...

    Text Solution

    |

  10. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  11. A point on the parabola y^2=18 x at which the ordinate increases at tw...

    Text Solution

    |

  12. A function y =f (x) has a second order derivative f'(x) =6 (x-1) If it...

    Text Solution

    |

  13. Find the normal to the curve x=a(1+cos theta),y=a sinthetaat theta. P...

    Text Solution

    |

  14. The real number x when added to its inverse given the minimum value of...

    Text Solution

    |

  15. If the function f(x)=2x^3-9ax^2+12a^2x+1, where a gt 0, attains its m...

    Text Solution

    |

  16. What is the angle between these two curves x^3-3xy^2+2=0 and 3x^2y-y^3...

    Text Solution

    |

  17. The function f(x)=cot^(-1)x+x increases in the interval (a) (1,\ oo) ...

    Text Solution

    |

  18. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  19. Let f(X) be a polynomila of degree four having extreme values at x =1 ...

    Text Solution

    |

  20. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

    Text Solution

    |