Find the intervals on which the function fx x2310 - x is

Question

Find the intervals on which the function f(x) = x^2/3(10 - x) is increasing and decreasing.

Sketch the graph of y = f (x) and identify any local maxima and minima.

Any global extrema should also be identified.

(A) f(x) is, decreasing on the interval (-∞,0) ∪ (4,∞); increasing on (0,4)

(B) f(x) Ls„ increasing on the interval (-∞,0) ∪ (4,∞); decreasing on (0,4)

(C) f(x) is, decreasing on the interval (-∞,10) ∪ (10,∞)

(D) f(x) I% increasing on the interval (-∞,0) ∪ (0,∞)