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Graphing a peacewise function

  1. Oct 18, 2009 #1
    1. The problem statement, all variables and given/known data
    This is the last of 10 calculus problems I have to do this week (besides the one I have half finished) 7/8 so far :). This problem asks if the function is continuous and differential. I don't know how to graph this though. Can somebody help explain, I only need to know how to sketch a graph of this.

    http://img27.imageshack.us/img27/5519/picture1tz.png [Broken]

    Thanks.


    2. Relevant equations



    3. The attempt at a solution
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Oct 18, 2009 #2

    LCKurtz

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    Call the x axis the r axis and the y axis the B axis, so you are going to graph B as a function of r. Label a point r0 on the r axis and a point B0 on the B axis.

    Now for r ≤ r0 you have a straight line with slope B0/r0. And for r > 0 you have r0B0/r). Just sketch the two pieces on the same graph.
     
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