Home
Class 12
MATHS
Give an example of a step function on [-...

Give an example of a step function on [-1,3] = `{x in R , -1 le x le 3}`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTION

    MBD PUBLICATION|Exercise QUESTION BANK|103 Videos

  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

Similar Questions

Explore conceptually related problems

Determine the absolute maximum and absolute minimum of the following function on [-1, 1]. f(x) = {{:((x + 1)^(2),x le 0),((x - 1)^(2),x gt 0):}

Give example of a function which is continuous but not differentiable at x=1.

Verify Rolle's theorem for the function f(x) = x(x-2)^2, 0 le x le 2

Write relations in tabular form and determine their type for R ={(x,y): y le x le 4}"on" A ={1,2,3,4,5}.

Solve in R and represent the solution on the number line. (x-1)/2 le (x+1)/3 lt (3x-1)/6

Examine the differentiability of the function f defined by f(x)={{:(2x+3", if "-3lexlt-2),(x+1", if "-2lexlt0),(x+2", if "0lex le1):}

Answer with reasons, whether the following function has a relative (local) maximum at x = 2 or not. f(x) = {{:(x,0 le x lt 1),(1,1 le x le 2),(3-x,2 lt x le 3):}

Prove that the function f gives by f(x)=|x-1|x in R is not differentiable at x=1 .

MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Find the domain and range of the following functions : sqrt(2x-3)

    Text Solution

    |

  2. Find the domain and range of the following functions : loge abs(x-2)

    Text Solution

    |

  3. Give an example of a step function on [-1,3] = {x in R , -1 le x le 3}

    Text Solution

    |

  4. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  5. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  6. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  7. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  8. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  9. Let X {a,b,c} , Y = {1,2,3,4} Find Out which of the following relat...

    Text Solution

    |

  10. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  11. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  12. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  13. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  14. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  15. Find the domain and range of those relations in a which are functions....

    Text Solution

    |

  16. Identify the constant function if any. {(a,1),(a,2),(b,3),(b,4)}

    Text Solution

    |

  17. Identify the constant function if any. {(a,2),(b,3),(c,4)}

    Text Solution

    |

  18. Identify the constant function if any. {(a,3),(b,1),(a,4),(c,2)}

    Text Solution

    |

  19. Identify the constant function if any. {(a,1),(b,1),(c,1)}

    Text Solution

    |

  20. Identify the constant function if any. {(a,1),(b,1),(c,1)}

    Text Solution

    |