please answer question 8 and 9 only. thank you

II. Use f(x) = x3 -3x2 +2 to find the following: (5 pts. each) 6. Find: a) the critical values for fusing the first derivative and the number line in order to b) 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 inflection. 8. If f(x) = x3 - 3x2 +2, find the following (10 pts. total) a. The domain b. They-intercept(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. 9. Find (using both algebra and calculus) the absolute maximum and minimum over the interval [-1,4] for f(x) = x3 - 3x2 +2 (4pts.)