f(x) = x^3 - 2x + 1/x
A. Find any horizontal asymptotes of f.
B. Find any vertical asymptotes of f.
C. Find the intervals on which f is increasing/decreasing.
D. Find any local maxima or minima of f. Give the point on the graph, not just the x-coordinate
E. Find the intervals on which f is concave up/down.
F. Find any inflection points of f. Give the point on the graph, not just the x-coordinate.
G. Sketch the graph of f. Make sure your drawing is consistent with the information above, and any solutions to f(x) = 0.
H. Does f have an absolute maximum (on the entire real line)?
I. Does f have an absolute minimum (on the entire real line)?