1|}. [Maximum mark: 22] Let the function f be dened by f(x) = (a) (b) (C) (d) (e) (f) 2e' , D. Zell xE Determine D. the largest possible domain of f. Show that the graph of f has three asymptotes and state their equations. 3e' Sh tht '()=. ow a f x (261): Use your answers from parts (b) and (o) to justify that f has an inverse and state its domain. Find an expression for f"'(x). Consider the region R enclosed by the graph of y = f (x) and the axes. Find the volume of the solid obtained when R is rotated through 2:: about the y-axis. [2] [5] [3] [4] [4] [4]