5. a. Given the function () = ³ 3² - 9 + 7, make a sign diagram for the first derivative and second derivative and find the local min and max and inflection points then sketch the graph by hand showing all of the above.

b. Find the inflection points of the following functions: f(x) = x³ - x² - x + 2

c. Find the absolute (global) min and max of the following functions on the given intervals. f(x) = (x² - 1)² on [-2, 2]