Show all work

8. Below is the graph of a function f(:1:) with domain [2, 6]. 42 1'.15 {185 2.72 3E4 4! 5.656 4.4 (a) (2 points) Decide whether the quantity f f(:1:) rim is positive, negative or zero. Briey 0 justify your answer. 0.85 (b) (2 points) Decide whether the quantity f (:17) (in: is positive, negative or zero. Briey 3.4 justify your answer. 5 (c) (2 points) Decide whether the quantity / f(32) d3: is positive, negative or zero. Briey 3.4 justify your answer. 5.55 (d) (2 points) Compute / f'(;r) dos. Briey explain why your answer is correct. 0.35 (e) (6 points) On [-2, 6], define h(x) by h(x) = / f(t) at. i. (1 point) Compute h"(2.72). ii. (2 points) Find the critical number(s) of h(x) and classify as the locations of local minimums or maximums, or state that none exist. iii. (1 point) On what interval(s) is h(x) increasing? iv. (2 points) List the x-coordinate of each of the inflection points of h(x). Briefly justify your