Line g is dilated by a scale factor of 3 from the origin to create line g'. Where are points E' and F' located after dilation, and how are lines g and g' related? coordinate plane with point E at negative 4 comma 0 and point F at 0 comma 2, line g intersects points E and F The locations of E' and F' are E' (−4, 0) and F' (0, 2), and lines g and g' are the same line. The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' intersect at point F. The locations of E' and F' are E' (−1, 0) and F' (0, 0), and lines g and g' are not related. The locations of E' and F' are E' (−12, 0) and F' (0, 6), and lines g and g' are parallel.

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) —