Lena and chris are working with a carter to rent banquet tables for 9th grade fall dance the tables are hexagon-shaped and six chairs will be placed on each table linda and chris want to determine how many tables they will need for whatever number of students plan to attend the dance and picture presents of the situation shown below represents the relationship between the number of tables in the total number of people that can be seated as a table, as a graph, in words, and as an algebraic rule.

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) —