2. Sketch the graph of g(x) = re- by completing the steps below. 2a. Find all r-intercepts and y-intercept of the graph of f(x) whenever possible. 2b. Find coordinates of all critical points, vertical asymptotes, and places where f(r) are undefined. 2c. Determine where f(r) is increasing and where it is decreasing. Give your answer using interval notation. 2 2d. Determine the concavity and coordinates of inflection points of f(x). 2e. Find all asymptotes and limit at infinity whenever applicable. 2f. Sketch the graph below labeling all important features. Your picture should be large and clear. y 0.5 -1 0 1 2 3 X -0.5