The function f(x) from the graph f'(x)

In your own blog, respond to the following and include all your explanations very clearly. Due date: Saturday, 2/13/10

The following graph is of the DERIVATIVE of f(x), f'(x).

1. Where is the function, f(x), increasing? Where is it decreasing? How can you tell from this graph? Explain.
   
2. Where is there an extrema? Explain. (There are no endpoints.)
3. Where is the function, f(x), concave up? Where is it concave down? How can you tell from this graph?
4. Sketch the graph f(x) on a sheet of paper. Which power function could it be? Explain your reasoning.