II. Use f(x) = x3 3x2 +2 to nd the following: (5pts. each) 6. Find: a) the critical values for f using the rst derivative and the number line in order to 1)) name the intervals where f is increasing/decreasing, and c) name the local extrema points: 7. Using: a) the second derivative and the number line to describe: b) the intervals where f is concave up/ down and name c) any points of inection. 8. Iff(x) = x3 3x2 +2, nd the following (10 pts. total) a. The domain b. The yintercept(s) c. Horizontal asymptote(s) d. Vertical asymptote(s) e. Put the above information on the graph, labeling points where necessary f. Using the above information and the information from #'s '7 and 8 neatly sketch the graph using the above information. F ' 9. Find (using both algebra and calculus) the absolute maximum and minimum over the interval [1,4] for f(x) = x3 3x2 + 2 (4 pts.)