Question: Question 3. Consider the function f(x) = x^2-e^(x), where x R. (a) Use limits to describe the long-term behaviour of this function. (b) Find all
Question 3. Consider the function f(x) = x^2-e^(x), where x R. (a) Use limits to describe the long-term behaviour of this function. (b) Find all local maximum and minimum values of f(x). (c) Find the x-coordinate of all points of inection of the graph of f(x). (d) Does f(x) have a global maximum? A global minimum? (e) Draw the graph of f(x) indicating the main features, including any asymptotes, local maxima/minima, and points of inection
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