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Homework Help: Writing About Concepts

  1. Feb 26, 2012 #1
    1. The problem statement, all variables and given/known data
    Sketch the graph of a differentiable function f such that f(2)=0, f' < 0 for -infinity < x < 2, and
    f' > 0 for 2 < x < infinity.

    2. Relevant equations

    3. The attempt at a solution
    I have answered this question correctly, but what interested me was that in the back of the book it said that individual answers may vary. When I answered this, I immediately thought of a parabola, but I was wondering if an absolute value function would work as well.
  2. jcsd
  3. Feb 26, 2012 #2
    Is abs differentiable?
  4. Feb 26, 2012 #3
    I would say yes, just when x doesn't equal 2.
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