Home
Class 12
MATHS
Discuss the continuity of the functions ...

Discuss the continuity of the functions on te intervals shown below them or against them :
`{:(f(x) =3x+5",","for" 0 lex lt 3),(=2x+8",","for" 3 le x lt5),(=x+13",","for" 5 lex le10):}`
on its domain.

Text Solution

Verified by Experts

The correct Answer is:
Continuous on its domain `[0,10].`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • CONTINUITY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|6 Videos

  • BINOMIAL DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

  • DEFINITE INTEGRALS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Discuss the continuity of the functions on te intervals shown below them or against them : {:(f(x)=(2x+5)/(x+1)",","for" 0lexlt2),(=4x-5",","for" 2le xle4),(=(x^(2)+2)/(x-5)",","for" 4lt x le 6"," x ne5):} on its domain.

Discuss the continuity of the functions on te intervals shown below them or against them : f(x)=(x^(2)+x-12)/(x^(2)-3x+2),on[0,4].

If f(x)={:{(3x+5", for " 0 le x lt 3),(2x+8", for " 3 le x lt 5),(x+13", for " 5 le x le 10):} , then

Let f(x) ={:{(x, "for", 0 le x lt1),( 3-x,"for", 1 le x le2):} Then f(x) is

If f(x)={:{(x-1", for " 1 le x lt 2),(2x+3", for " 2 le x le 3):} , then at x=2

If f(x)={:{(3", if " 0 le x le 1),(4", if " 1 lt x lt 3),(5", if " 3 le x le 10):} , then

Discuss the continous of the following function on its domain, where f(x)=x^(2)-4, "for" 0lex le2 =2x+3, "for" 2 ltx le4 =x^(2)-05, "for" 4 lt x le6.

If f(x)={:{(x^(2)-4", for " 0 le x le 2),(2x+3", for " 2 lt x le 4),(x^(2)-5", for " 4 lt x le 6):} , then

Discuss the continuity of the function = f(x) ={(3-x", "x le 0),(x", "x gt 0):} at x=0.

If the function f(x) is continous on the interval [-2, 2], find the values of a and b, where {:(f(x)(sin ax)/(x)-2",","for"-2lelt0),(=2x+1",", "for" 0lex le1),(=2b sqrt(x^(2)+3)-1",","for" 1 lt x le 2.):}

NAVNEET PUBLICATION - MAHARASHTRA BOARD-CONTINUITY -EXAMPLES FOR PRACTICE
  1. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  2. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  3. Discuss the continuity of the functions at the points given against th...

    Text Solution

    |

  4. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  5. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  6. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  7. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  8. Find the value of k, if the functions are continuous at the points giv...

    Text Solution

    |

  9. If f (x) is continuous at x=pi, where f(x) =(sqrt(2+cos x)-1)/((pi-2)^...

    Text Solution

    |

  10. If the function f(x)=((4^(sinx)-1)^(2))/(x log (1+2x)), "for" x ne0, i...

    Text Solution

    |

  11. If f(x) is continous at x=0, where f(x) ((e^(3x)-1)sin x)/(xlog(1+x)),...

    Text Solution

    |

  12. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  13. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  14. Discuss the continuity of the functions on te intervals shown below th...

    Text Solution

    |

  15. If f (x) is continous on [0,8] defined as f(x)=x^(2)+ax, "for" 0lex...

    Text Solution

    |

  16. If f(x)(x^(2)-9)/(x-3)+alpha, "for" x gt 3 =5, "for" x =3 =2x^(2)+...

    Text Solution

    |

  17. If (f) is continuous on its domian [-2, 2], where f(x)=(sin x)/(x)+a,...

    Text Solution

    |

  18. Find alpha and beta, so the function f (x) defined by f(x) =-2 sin x...

    Text Solution

    |

  19. Find the values of a and b so that the function f(x)={{:(x+asqrt2...

    Text Solution

    |

  20. If f (x) is continuous on 0-4, 2], defined as f(x)=6b-3ax, "for" -4 ...

    Text Solution

    |