x²(x² – 12) (x² – 4)² 8x(x² + 12) (x² – 4)³ ° Given: f(x) with f'(x) = and f"(x) x² – 4' (a) Find the intercepts of the graph of f. (b) Verify that the lines x = 2, x = -2, and y = x are the...

Extracted text: x²(x² – 12) (x² – 4)² 8x(x² + 12) (x² – 4)³ ° Given: f(x) with f'(x) = and f"(x) x² – 4' (a) Find the intercepts of the graph of f. (b) Verify that the lines x = 2, x = -2, and y = x are the asymptotes of the graph of f. (c) Identify the critical numbers and possible points of inflection. (d) Make a table showing the intervals where f is increasing or decreasing, where the graph of f is concave up or concave down. Specify all relative minimum points, relative maximum points, and points of inflection of the graph of f. (e) Sketch the graph of f. Label the intercepts, relative extremum points, and points of inflection with their coordinates. Draw the asymptotes and label them with their equations.