Let f (x) = x a + x , x 0 where a is a positive constant. (a) Determine where f (x) is
Chapter 5, Problem 41(choose chapter or problem)
Let f (x) = x a + x , x 0 where a is a positive constant. (a) Determine where f (x) is increasing and where it is decreasing. (b) Where is the function concave up and where is it concave down? Find all inflection points of f (x). (c) Find limx f (x) and decide whether f (x) has a horizontal asymptote. (d) Sketch the graph of f (x) together with its asymptotes and inflection points (if they exist).
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