Home
Class 12
MATHS
Discuss the continuity of the function f...

Discuss the continuity of the function f, where f is defined by
`f(x)={{:(-2," if "x le -1),(2x," if "-1 lt x le 1),(2," if "x gt 1):}`.

Text Solution

Verified by Experts

The correct Answer is:
Continuos
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.2|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.3|15 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXAMPLES|9 Videos
  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the function f, where f is defined by f(x)={{:(3," if "0 le xle 1),(4," if "1 lt x lt 3),(5," if "3 le x le 10):} .

Discuss the continuity of the function f defined by {{:(x+2," if "x le 1),(x-2," if "x gt 1):} .

Check the continuity of the function f defined by f(x)={{:(x+1,if xle1),(2x,if 1 lt x lt 2x),(1+xA^(2),if x ge 2):} at x=1 and 2

Find all points of discontinuity of f, where f is defined by f(x)={{:(x^(10)-1," if "x le1),(x^(2)," if "x gt 1):}

Is the function f, defined by f(x) = {(x^2, if x le1),(x, if x > 1):} continuous on R?

Find all points of discontinuity of f, where f is defined by f(x)={{:(x^(3)-3," if "x le2),(x^(2)+1," if "x gt 2):}

Check the continuity of function defined by f(x)={{:(4-x^(2),if, x le0),(x-5,if, 0 lt x le1),(4x^(2)-9, if,1 lt x lt 2),(3x+4,if,x ge 2):} at the points x=0, and 2.

NCERT TELUGU-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5.1
  1. Discuss the continuity of the function f, where f is defined by f(x)...

    Text Solution

    |

  2. Discuss the continuity of the function f, where f is defined by f(x)...

    Text Solution

    |

  3. Discuss the continuity of the function f, where f is defined by f(x)...

    Text Solution

    |

  4. Find the relationship between a and b so that the function f defined b...

    Text Solution

    |

  5. For what value of lambda is the function defined by f(x)={{:(lambda(...

    Text Solution

    |

  6. Show that the function defined by g(x) = x-[x] is a discontinuous at a...

    Text Solution

    |

  7. Is the function defined by f(x)= x^(2)-sin x+5 continuous at x= pi?

    Text Solution

    |

  8. Discuss the continuity of the following functions : f(x)= sin x +cos...

    Text Solution

    |

  9. Discuss the continuity of the following functions : f(x)= sin x - co...

    Text Solution

    |

  10. Discuss the continuity of the following functions : f(x) = sin x. co...

    Text Solution

    |

  11. Discuss the continuity of the cosine, cosecant, secant and cotangent f...

    Text Solution

    |

  12. Find all points of dicontinuity of f, where f(x)={{:((sinx)/(x)," if...

    Text Solution

    |

  13. Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(...

    Text Solution

    |

  14. Examine the continuity of f, where f is defined by f(x)={{:(sin x-co...

    Text Solution

    |

  15. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  16. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  17. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  18. Find the values of k so that the function f is continuous at the indic...

    Text Solution

    |

  19. Find the values of a and b such that the function defined by f(x)={{...

    Text Solution

    |

  20. Show that the function defined by f(x)= cos (x^2) is a continuous func...

    Text Solution

    |