Question: Let f(x) = x 1/3 (x 4). a. Find f'(x), and determine intervals of increase and decrease for f(x). Locate all relative extrema on

Let f(x) = x1/3(x − 4).

a. Find f'(x), and determine intervals of increase and decrease for f(x). Locate all relative extrema on the graph of f(x).

b. Find f"(x), and determine intervals of concavity for f(x). Find all inflection points on the graph of f(x).

c. Find all intercepts for the graph of f(x). Does the graph have any asymptotes?

d. Sketch the graph of f(x).

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