2. For the curve y = 3x / x^2-1 determine each of the followingand use all of the information to draw its graph
and notate the information on it.
(a) Find the domain of the function, as well as any x or yintercepts and symmetry.
(b) Find all vertical (2 of them) and horizontal (1) asymptotes.Support your work with limits.
(c) Use the first derivative to determine the maximums, minimumsand intervals of increase/decrease of f(x).
(d) Use the second derivative to determine the points ofinflection and intervals of concavity of f(x).
(e) Sketch the graph of f(x) and annotate it as follows: Sketchthe asymptotes as dashed lines.
Plot and label the maxes (M), mins (m) inflection points (IP) onthe graph.
Label the intervals on the graph for each of the 4 types ofbasic shapes:
1 for concave up/inc
2 for concave up/dec
3 for concave down/inc
4 for concave down/dec
