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Continuity Of Composites

  1. Feb 3, 2008 #1
    1. The problem statement, all variables and given/known data
    Find the constants a and b such that the function is continuous on the entire real line.


    2. Relevant equations
    f(x)={2, x< or = -1
    {ax + b, -1<x<3
    {-2, x> or = 3


    3. The attempt at a solution
    I don't know where to start.

    If anyone is willing to help me with my calculus make up work let me know. I don't get it at all.
     
  2. jcsd
  3. Feb 3, 2008 #2

    Dick

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    This isn't really calculus. You need to pick a and b so that a*(-1)+b=2 and a*(3)+b=-2. Do you see why?
     
  4. Feb 3, 2008 #3
    haha sorry it is in my calculus book. ya i think i do. but how would you get a and b then?
     
  5. Feb 3, 2008 #4

    Dick

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    You would solve the two simultaneous equations -a+b=2 and 3a+b=(-2). I think that's in your algebra book.
     
  6. Feb 3, 2008 #5
    a=-1 and b=1, i dont have an algebra book but i got it somehow. do i need a new thread for each new problem i have?
     
  7. Feb 3, 2008 #6

    Dick

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    You don't have to. But you'll get better response time if you do. Posts with zero replies get much more attention.
     
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