Home
Class 12
MATHS
Find the range of the function f(x) =abs...

Find the range of the function f(x) =`abs(x - 1) + abs(x - 2)` , `-1 le x le 3`

A

`a=-11, b=6`

B

`a=-6, b=11`

C

`a=-6,b=-11`

D

`a=11, b=-6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos
  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 6|80 Videos
  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

Find the range of the function f(x)=(1)/(2+sin3x)

Without using graph paper the graph of the function y = f(x) = abs(x - 1) + abs(x +1) for -2 le x le 2 and examine whether the function has any point of discontinuty.

Find the range of the following function f(x)=|x-1|+|x-2|,-1lexle3 is

The range of the function f(x) =sin (sin ^(-1) x+cos ^(-1)x) (|x| le 1) is-

3(x-1) le 2 (x-3)

Verify Rolle's theorem for the functions f(x)=(x-1)(x-2)^(2) " in " 1 le x le 2

Draw the graph of the function f(x)= x- |x-x^(2)|, -1 le x le 1 and find the points of non-differentiability.

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)-5x+6 " in " 2 le x le 3

Verify the truth of Rolle's theorem for the functions: f(x)=sin^(2)x " in " 0 le x le pi

Verify the truth of Rolle's theorem for the functions: f(x)=x^(2)+2x-8" in " -4 le x le 2

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
  1. If the vectors veca= 3x hati+4y hatj-12hatk and vecb=3x hati-4y hatj+1...

    Text Solution

    |

  2. If veca, vecb, vec c are three mutually perpendicular vectors and |vec...

    Text Solution

    |

  3. Find the range of the function f(x) =abs(x - 1) + abs(x - 2) , -1 le x...

    Text Solution

    |

  4. In the mean value theorem f(b)-f(a)=(b-a)f'(c )(a lt c lt b), "if " a=...

    Text Solution

    |

  5. The value of lim(x to 0) (27^(x)-9^(x)-3^(x)+1)/(log(e)(1+(x^(2))/(2)...

    Text Solution

    |

  6. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

    Text Solution

    |

  7. If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k, then the value of (dy)/(dx) at...

    Text Solution

    |

  8. If x=a cot theta and y=(1)/(x^(2)+a^(2)), then the value of (d^(2)...

    Text Solution

    |

  9. If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then which of the following is...

    Text Solution

    |

  10. If y=e^(m sin^(-1)x), then the value of [(d^(2)y)/(dx^(2))](x=0) is ...

    Text Solution

    |

  11. If x sqrt(1+y)+y sqrt(1+x)=0 then the value of (dy)/(dx) is -

    Text Solution

    |

  12. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)), then the ...

    Text Solution

    |

  13. If siny=x sin(a+y), then the value of (dy)/(dx) is -

    Text Solution

    |

  14. If y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(...

    Text Solution

    |

  15. If the equation a(n)x^(n)+a(n-1)x^(n-1)+…+a(1)x=0 (a(1) ne 0, n ge 2)...

    Text Solution

    |

  16. If x sin y+y cos x=pi, then the value of y''(0) is -

    Text Solution

    |

  17. Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be ...

    Text Solution

    |

  18. The value of int(dx)/(x(x^(7)+1)) is equal to -

    Text Solution

    |

  19. If f(x)=|x-1|, then the value of int(0)^(2)f(x) dx is -

    Text Solution

    |

  20. If I(m)=int(1)^(x)(logx)^(m)dx satisfies the relation I(m)=x(logx)^...

    Text Solution

    |