The function \(f\) is graphed below. Use the graph to determine whether the first or second derivatives of \(f\) are positive, negative, zero at the given points. Briefly explain your answers.
The function \(g\) has a derivative\(g'\) with values given in the following table. Use the table to describe the behavior of \(g\text{,}\)\(g'\) and the \(g''\text{.}\) That is, can you say whether either of these are positive/negative, increasing/decreasing, or concave up/down? Briefly explain your answers.
What can you say about \(g(2)\text{,}\) the original function whose derivative is given in the table? (You can determine two of the three characteristics.)