Problem 6. Show that the function f(x) = x3 - 3x + 2 satisfies the mean value theorem on the interval [-2, 2], then find all values of c which satisfy the theorem. Problem 7. Show that the function f(x) = sin () satisfies the Rolle's theorem on the interval [", ""], then find all values of c which satisfy the theorem. Problem 8. Consider the function f(x) = z1 - 212 + 3 (a) Use a sign chart to find the intervals of increase / decrease for f(r). (b) Find the relative maximums and minimums for f(x). (c) Use a sign chart to find the intervals of concave up/ down for f(I). (d) Find any points of inflection that exist