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22. Let f be the function defined by f (x) = xe for all real numbers x. (a) Find each interval on which f is

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22. Let f be the function defined by f (x) = xe for all real numbers x. (a) Find each interval on which f is increasing. (b) Find the range of f. (c) Find the x-coordinate of each point of inflection of the graph of f. (d) Using the results found in parts (a), (b), and (c), sketch the graph of f in the xy-plane provided below (Indicate all intercepts.) X

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