Sketch a graph of the polynomial function f(x) = -x^3 + 5x^2 - 2x - 8. Use the graph to complete the following: F is on the intervals (-∞,1/3) and (3, ∞).
F is on the intervals (-1, 2) and (4, ∞).
F is on the interval
(1/3,3).
F is on the intervals (-∞,-1) and (2, 4).

Fill in the blanks with positive, negative, decreasing, or increasing.