Please answer the following questions about the function f(:r:) : ($2 + 10)(4 :32). Instructions: If you are asked to find a: or y-values, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use _inter_v_a_|_l__n_o_tatio_n_ if you are asked to find an interval or union of intervals, and enter { } if the interval is empty. (a) Find the critical numbers of f, where it is increasing and decreasing, and its local extrema. Critical numbers m = 0 Increasing on the interval (-INF, 0) Decreasing on the interval (0, INF) Local maxima at = 0 Local minima m = DNE (b) Find where f is concave up, concave down, and has inflection points. Concave up on the interval (-INF, 0) Concave down on the interval (0, INF) lnflection points a: = D (c) Find any horizontal and vertical asymptotes of f. Horizontal asymptotes y = 40 Vertical asymptotes a: : (-3, 3) (d) The function f is 1) v because ? v for all :r in the domain of f, and therefore its graph is symmetric about the ? v