Find any horizontal asymptotes of f

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Reference no: EM132059865

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)?

Reference no: EM132059865

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