Consider the function f(x) = x + 1/x^{2} + 2x - 3.
(a) Find f(2) and f(-2).
(b) Find the domain of f(x).
(c) Does the range include 1? Show your working.
(d) Find and simplify f(x - 1).
(e) Does the graph of y = f(x) cut the x-axis? If so, where?