Question

You are given f(x) = x² – 3 Note that the formula is for f, not for f'. 1. Find the critical points of the function. Note: There are some points where f' does not exist because, at those points, f doesn't exist either. Those points are NOT critical points, but they are needed for the next step. 2. Make a sign chart for f'. Note: Along with critical points, your sign chart must also include all points where f' did not exist because, at those points, f did not exist either. 3. Use your sign chart to sketch a graph of f. Answer the questions below. After you answer all five questions you can check your sign chart against the solution. Note: Only 5 tries for each answer box. The first box is penalty scored after one submission. Determine whether each critical point produces a local minimum or maximum (or neither). Enter your answers as a comma-separated list. If an answer does not exist, enter DNE. local minimum when x = local maximum when x = neither Determine the intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. Enter EMPTY or @ for the empty set.) increasing decreasing