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.