Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. Show complete solution using the four steps. Step 1. Determine if the polynomial is continuous. Step 2. Find the first derivative and find the critical points. Step 3. Evaluate the function at the critical points and the endpoints of the interval. Note only critical value that lie in the given interval. Step 4. Determine the maximum point (highest value of f(x)) and the minimum point (lowest value of f(x)), if there is any. Analysis: Express what you have learned in these lessons/ activities by answering the questions below. 1. When can we say that a function or a graph has extrema (both minimum and maximum value)? 2. How do we identify the minimum and maximum value of the graph of a function at a given interval? 4. How can we solve optimization