8 Question 6. (total: 7 points (0.5 points each and 1.5 for part (1)) Evaluate the following about the function f(x) = 2 + 3e-3/, and then use that information to sketch its graph. (a) Domain of f: (b) lim f (x) = (c) lim f(x) = 20 - -00 (d) lim f (x) = x-+0- (e) lim f(x) = x-+0+ ( f) f' ( 20 ) = (g) Critical points of f: (h) (Remember to think about the domain of f!) On what interval(s) is f (x) increasing? (i) f"(ac) = (j) (Remember to think about the domain of f!) On what interval(s) is f(x) concave up? (k) Are there any inflection points? If so, where? (1) Sketch the graph of f, being sure to include all the features identified in (a)-(k) above