Find all critical points of the function. Determine the intervals in which g(x) is increasing and the intervals in which g(x) is decreasing.

q(x) =（x^2 - 16）/ （x-5）

where x ‡ 5.

Find all the local (relative) maxima and local (relative minima of the function.

Find the intervals in which g(x) is convex (i.e., concave up) and the intervals in which g(x) is concave (i.e., concave down). Hence determine the points of inflection of the function.

Find all asymptotes of the function (including vertical, horizontal, and inclined asymptotes).

Sketch the graph of g(x).