Home
Class 12
MATHS
Is the function defined by f(x)={(x+5","...

Is the function defined by `f(x)={(x+5","ifxle1),(x-5","ifxgt1):}` a continuous function?

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|47 Videos
  • DETERMINANTS

    A N EXCEL PUBLICATION|Exercise QUESTION TYPE|83 Videos

Similar Questions

Explore conceptually related problems

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=0

Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuous function? Justify.

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=1?

Is the function f defined by f(x)={(x","ifxle1),(5"," ifx>1):} continuous at x=2?

Find the value of a such that the function f(x) defined by f(x)={(ax+3,ifxle2),(a^2x-1,ifx>2):} is continuous function at x=2 .

Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):} is continuous or not .

Find the value of k such that the function f(x) defined by f(x)={(kx-1,ifxlepi/2),(sinx,ifx>pi/2):} is continuous function at x=pi/2 .

Find the relationship between a and b so that the function f defined by f(x)={(ax+1,ifxle2),(bx-3,if x>2):} is continous at x=2.

Find the relation between 'a' and 'b' if the function f defined by f(x)={(ax+1,xle3),(bx+3,x>3):} is continuous.

Find the relationship between p and q so that the function f(x) = {(px+5,, if xle5),(qx+2,, if xgt5):} is continuous at x=5

A N EXCEL PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. Find all points of discontinuity of f, where f is defined by f(x)={(x/...

    Text Solution

    |

  2. Find all points of discontinuity of f, where f is defined by f(x)={(x+...

    Text Solution

    |

  3. Is the function defined by f(x)={(x+5","ifxle1),(x-5","ifxgt1):} a con...

    Text Solution

    |

  4. Find the relation between 'a' and 'b' if the function f defined by f...

    Text Solution

    |

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

    Text Solution

    |

  6. Discuss the continuity of the following functions: f(x)=sinx+cosx

    Text Solution

    |

  7. Discuss the continuity of the following functions: f(x)=sinx-cosx

    Text Solution

    |

  8. Discuss the continuity of the following functions: f(x)=sinx.cosx

    Text Solution

    |

  9. Find the values of k so that function f is continuous at the indicated...

    Text Solution

    |

  10. Find the values of k so that function f is continuous at the indicated...

    Text Solution

    |

  11. Prove that the function defined by f(x)= cosx^2 is a continuous f...

    Text Solution

    |

  12. Show that the function f(x)=|cosx| is a continuous function.

    Text Solution

    |

  13. Find all the points of discontinuity of f defined by f(x)=|x|-|x+1|

    Text Solution

    |

  14. Differentiate sin(x^2+5) w.r.t.x

    Text Solution

    |

  15. Differentiate cos(sinx)w.r.t.x

    Text Solution

    |

  16. Differentiate sec(tan(sqrtx)) w.r.t.x

    Text Solution

    |

  17. Differentiate sin(ax+b)/(cos(cx+d)) w.r.t.x

    Text Solution

    |

  18. Differentiate cos(x^3)sin^2(x^5) w.r.t.x

    Text Solution

    |

  19. Differentiate 2sqrtcot(x^2) w.r.t.x

    Text Solution

    |

  20. Differentiate cos(sqrtx) w.r.t.x

    Text Solution

    |