Answer letters a-c given the following: Let h be a function satisfying the following statements. ~ dom h = R \\{-1, 1} ~ lim h(x) = +oo lim h(x) = -00 x-+1 x-1- lim h(x) = 1 lim h(x) = +oo x--1 X-+ -00 lim h(x) = -0 lim [h(x) -x + 2] = 0 x-+1- x-too - The table of signs for the derivatives of h is given below. Interval h(x) h'(x) h"(x) (-00, -1) -1 undefined undefined undefined (-1, 0) + 0 -1 0 (0, 1) 1 undefined undefined undefined (1, 2) + 2 2 0 + Questions: (2, +oo + + a. Enumerate the equations of the asymptotes of h. b. On each of the five intervals in the table, determine whether h is increasing/ decreasing, and concave up/concave down. Find all relative maximum points, relative minimum points, and points of inflection of h, if any. c. Sketch the graph of h with emphasis on concavity. Label all asymptotes with their equations, and label all relative extrema and points of inflection with their coordinates