Home
Class 12
MATHS
Let f(x)=(x^(2)+)1)/([x]),1 lt x le 3.9....

Let `f(x)=(x^(2)+)1)/([x]),1 lt x le 3.9.[.]` denotes the greatest integer function. Then

A

f(x) is increasing function

B

f(x) is decreasing function

C

the greatest value of f(x) is `1/3 x 16.21`

D

the least value of f(x) is 2

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Comprehension|8 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise MATCH THE COLUMNS|4 Videos

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment Objective (level-1)|52 Videos

  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Let f(x) = [x]^(2) + [x+1] - 3 , where [.] denotes the greatest integer function. Then

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

Let f(x)=sec^(-1)[1+cos^(2)x], where [.] denotes the greatest integer function. Then the

For a function f(x)=(2(x^(2)+1))/([x]) (where [.] denotes the greatest integer function), if 1lexlt4 . Then

Let f(x)=[x]cos ((pi)/([x+2])) where [ ] denotes the greatest integer function. Then, the domain of f is

Let f(x)={1+|x|,x<-1[x],xgeq-1 , where [.] denotes the greatest integer function. The find the value of f{f(-2,3)}dot

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

If f(x) = {{:(|1-4x^(2)|",",0 le x lt 1),([x^(2)-2x]",",1 le x lt 2):} , where [] denotes the greatest integer function, then

FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-2)
  1. If the equation x^(5) - 10 a^(3)x^(2) + b^(4)x + c ^(5) = 0 has three...

    Text Solution

    |

  2. A tangent drawn to the curve y=f(x) at P(x,y) cuts the x-axis and y-ax...

    Text Solution

    |

  3. The function f(x) = x^(2) + gamma / x has a

    Text Solution

    |

  4. If x = 1/2 and if (1-2x)/ (1-x+ x^(2)) + (2x-4x^(3))/ (1-x^(2) + x^(4)...

    Text Solution

    |

  5. Let f(x)=(x^(2)+)1)/([x]),1 lt x le 3.9.[.] denotes the greatest integ...

    Text Solution

    |

  6. Which of the following are / is true

    Text Solution

    |

  7. If f: R rightarrow R, f(x) is a differentiable bijective function , th...

    Text Solution

    |

  8. Let f(x) = x^(3) - 6x^(2) + 15x + 3. Then

    Text Solution

    |

  9. Let f(x) be a nonzero function whose all successive derivative exist ...

    Text Solution

    |

  10. The function f(x) = tan ^(-1)x -x decreases in the interval

    Text Solution

    |

  11. f(x) = e^(sinx+cosx) is an increasing function in

    Text Solution

    |

  12. Which of the following statements are true where phi(x) is a polynomi...

    Text Solution

    |

  13. The function f(x)=2log(x-2)-x^2+4x+1 increases in the interval

    Text Solution

    |

  14. Which of the following is/are true, (you may use f(x) = In(In x)/(Inx)

    Text Solution

    |

  15. If f(x) is continuous function , then

    Text Solution

    |

  16. If f(x) = (tan^-1 x)^2+2/(sqrt(x^2+1) then f is increasing in

    Text Solution

    |

  17. h(x)=3f((x^2)/3)+f(3-x^2)AAx in (-3, 4) where f''(x)> 0 AA x in (-3,4)...

    Text Solution

    |

  18. If f(x)=overset(x)underset(0)int(sint)/(t)dt,xgt0, then

    Text Solution

    |

  19. Let f(x) = 5x tanx + 8 sin(tan x) + In(cos x) then in the interval (-...

    Text Solution

    |

  20. If thetain[-(pi)/9,-(pi)/(36)] such that f(theta)=tan(theta+(5pi)/(18)...

    Text Solution

    |