Question: Given the following function f (x) = x3 - 27x answer the following 1. [2 pts] Determine f '(x) and f (x) 2. [3 pts]

Given the following function f (x) = x3 - 27x answer the following 1. [2 pts] Determine f '(x) and f "(x) 2. [3 pts] Determine the relative and absolute extremes (if any) 3. [2 pts] Determine inflection points (if any). 4. [2 pts] Determine the behavior of the function at infinity. 5. [4 pts] Sketch the graph of the function f (x) (using the information above)

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