1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Continuous function

  1. May 20, 2009 #1
    1. The problem statement, all variables and given/known data

    Determine whether the function is continuous, piecewise continuous or neither on the segment [0, 10] and sketch the graph of f(t).

    f(t)= {10-t, 0<=t<=8 and 10, 8<=t<=10)

    3. The attempt at a solution

    I would say that it was neither as the right hand limit at t = 8 doesnt equal the left hand limit. But im not sure wat the difference is between a continuous function and a piecewise continuous function???

    thanks for any help
     
  2. jcsd
  3. May 20, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    You are absolutely right. A piecewise continuous function is continuous on the interior of each of the pieces, a continuous function is continuous everywhere.
     
  4. May 21, 2009 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    No, Dick, NOT "absolutely right". That function is equal to 10- t for [itex]0\le t\le 8[/itex] and 10 for [itex]8\le t\le 10[/itex] so it is continuous on the interior of each of those intervals and is "piecewise continuous", not "neither".
     
  5. May 21, 2009 #4

    Dick

    User Avatar
    Science Advisor
    Homework Helper



    Right. I only saw that 'the limit doesn't exist' and missed the 'neither'. Thanks.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Continuous function
  1. Continuous Functions (Replies: 2)

  2. Continuity function (Replies: 8)

Loading...