with detailed solution

1. (28 points) CURVE SKETCHING. Given the function f (x) = x4 - 2x2 - 4 1. (2 points) Find f (x) and f"(x). 2. (16 points) Determine the following properties of the graph of f. a. Range and domain b. x and y intercepts c. The asymptotes d. The critical points e. The intervals on which f is increasing or decreasing f. The relative extrema g. The intervals on which f is concave up or concave down h. The Inflection points 3. (5 points ) Create a table for graphing using the information obtained from (1 and 2). 4. (5 points ) Sketch the graph of f using the table you created