(12 marks) Consider the function $2216 9(i) (\"5 where :r 79 5. (a) Find all critical points of the function. Determine the intervals in which g(:1:) is increasing and / or decreasing, and hence nd all the local (relative) maxima and local (relative) minima of the function. (b) Find the intervals in which 9(a) is concave up and / or concave down. Hence determine the points of inection of the function. (c) Find all asymptotes of the function (including vertical. horizontal and inclined asymp totes]. [(1) Sketch the graph of g(:r)