Home
Class 12
MATHS
If f(x)= | x|+|x-1|, then in [-1, 2]...

If `f(x)= | x|+|x-1|`, then in [-1, 2]

A

f is continuous except at `x=0`

B

f is continuous except at `x=1`

C

f is continuous

D

f is discontinuous

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    NIKITA PUBLICATION|Exercise MCQS|77 Videos
  • DEFINITE INTEGRAL

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|243 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity and differentiability of the function f(x)=|x|+|x-1| in the interval (-1,2) .

Discuss the continuity of the function f(x) =|x|+|x-1| in the interval [ -1,2]

If f (x) =2+ |x| -|x-1|-|x+1|, then f '((1)/(2)) +f' ((3)/(2))+f' ((5)/(2)) is equal to:

f (x)= x^(6) -x-1, x in [1,2]. Consider the following statements :

Verify Rolle's theorem for each of the following functions : f(x) = (x -1) (x -2)^(2) " in " [1, 2]

Draw the graph and find the points of discontinuity for f(x)=[x^(2)-x-1],x in[-1,2] ([.] represents the greatest integer function).

If 2f(x) - 3 f(1//x) = x," then " int_(1)^(2) f(x) dx is equal to

If f(x) = (x-1)/(x+1) , then f(2) is equal to

NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
  1. If f(x)=[x], where [x] is the greatest integer not greater than x, in ...

    Text Solution

    |

  2. If f(x)=|(1+x)|x||, then f is

    Text Solution

    |

  3. If f(x)= | x|+|x-1|, then in [-1, 2]

    Text Solution

    |

  4. The function f(x)=x+|x| is continuous for

    Text Solution

    |

  5. The function f(x) = |x| AA x in R is

    Text Solution

    |

  6. If f(x)=2x-|x|, then at x=0

    Text Solution

    |

  7. If f(x)={:{((x)/(|x|)", for " x!=0),(c", for " x=0):}, then f is

    Text Solution

    |

  8. If f(x)={:{((|x|)/(x)", for " x!=0),(1", for " x=0):}, then

    Text Solution

    |

  9. If f: R rarr R is defined bu f(x)=[x-3] + |x-4| for x in R, then li...

    Text Solution

    |

  10. If f(x)={:{((cot x-cos x)/((pi-2x)^(3))", for " x != (pi)/(2)),(k ", f...

    Text Solution

    |

  11. If f(x)=log(sec^(2)x)^(cot2) for xne0 for x=0 is continuous at x=0, th...

    Text Solution

    |

  12. The function f(x)=(2x^(2)+7)/(x^(3)+3x^(2)-x-3) is discontinuous for

    Text Solution

    |

  13. If f(u) = 1/(u^(2)+u-2) , where u = 1/(x-1) , then the points of dis...

    Text Solution

    |

  14. If f(x) is continuous at x=3, where f(x)=(x^(2)-7x+12)/(x^(2)-5x+6),fo...

    Text Solution

    |

  15. If f(x) is continuous for all x, where f(x)={:{((x^(2)-7x+12)/((x-2)^...

    Text Solution

    |

  16. If f(x) is continuous at x=2, where f(x)={:{((x^(2)-(a+2)x+a)/(x-2)"...

    Text Solution

    |

  17. If f(x) is continuous at x=2, where f(x)=((x^(2)-x-2)^(20))/((x^(3)-1...

    Text Solution

    |

  18. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

    Text Solution

    |

  19. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

    Text Solution

    |

  20. If f(x) is continuous at x=1, where f(x)=((x+3x^(2)+5x^(3)+...+(2n-1)...

    Text Solution

    |