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Peice-wise defined function

  1. Mar 14, 2013 #1
    Write (x+3)*(absolute value of (x-2)) as a peice-wise defined function.

    How do I set about doing this, considering (x+3) is not an absolute value??
     
  2. jcsd
  3. Mar 14, 2013 #2

    eumyang

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    Homework Helper

    Try graphing both
    y = (x + 3)|x - 2|
    and
    y = (x + 3)(x - 2) (without the absolute value)
    by hand or by using a graphing utility. You will notice something when you compare the graphs.
     
  4. Mar 14, 2013 #3
    ahhhh thank you
     
  5. Mar 15, 2013 #4

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    The fact that there is no absolute value around x+ 3 is irrelevant. There is an absolute value or x- 2 so look at x< 2, x> 2.
     
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