The expression x2 - 36y2 is equivalent to

Consider the following function f(x) %3 (х — 3)3 (a) find the intervals where the function fis increasing and where is decreasing. (enter your answers using interval notation. an answer cannot be expressed as an interval, enter empty or .) increasing decreasing (b) find the relative extrema of f. (if an answer does not exist, enter dne.) relative maximum (х, у) - (х, у) %3d relative minimum (c) find the intervals where the graph of f is concave upward and where it is concave downward. (enter your answers using interval notation. if an answen cannot be expressed as an interval, enter empty or .) concave upward concave downward (d) find the inflection points, if any, of f. (if an answer does not exist, enter dne.) (х, у) —