Consider the following function. (If an answer does not exist, enter DNE.)
f(x) = (9 - x)^{1/3}
(a) Find the intervals where the function f is increasing and where it is decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the relative extrema of f.
relative maximum (x, y) =
relative minimum (x, y) =
(c) Find the intervals where the graph of f is concave upward and where it is concave downward. (Enter your answers using interval notation.)
concave upward
concave downward
(d) Find the inflection points, if any, of f.
(x, y) =