Question 2. Consider the function f (90) = :52 e\

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