Given: f(x)= = x³ x²-3' with f'(x) = x4-9x² (x² - 3)² and f"(x) = 62³ +54x (x² − 3)³ Make a table that shows the intervals where f is increasing or decreasing, and where the graph of f is concave up or concave down. Specify in the table all relative minimum points, relative maximum points, and points of inflection of the graph of f. Sketch the graph of f. Reminder: Emphasize concavity in your graph of f. Plot the intercepts, relative extremum points, and points of inflection, and label them with their coordinates. Draw the linear asymp- totes and label them with their equations.

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