1. (13 points) Let f (at) = $4 2x3. (i) Find the domain of f (:15) (ii) Compute f'(x) and f\" (1:). (iii) Give the coordinates of the critical points. (iv) Find the intervals where f (as) is increasing / decreasing. (v) Give the coordinates of the relative extrema. Classify each extrema as a relative maximum or a relative minimum. (vi) Find the intervals Where f (51:) is concave up / concave down. ( vii) Give the coordinates of any points of inflection. (viii) Sketch the graph of f(x)