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Find the value of p and q that make the function continuous

  1. Apr 18, 2012 #1

    egc

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    1. The problem statement, all variables and given/known data

    Find the value of p and q that make the function continuous

    2. Relevant equations
    f(x)= x-2 if x≥2
    [itex]\sqrt{p-x^{2}}[/itex] -2<x<2
    q-x if x≤-2



    3. The attempt at a solution
    lim f(x)= x-2
    n→2+

    lim f(x)=q-x
    n→-2

    I really have no idea how to continue,the teacher never explained this and I have a test tomorrow please help!
     
    Last edited: Apr 18, 2012
  2. jcsd
  3. Apr 18, 2012 #2

    egc

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    Does q= -2 and p=4 ?
     
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