Based on the table given, answer the following questions:

x	0	pi/3	2pi/3	Pi/2	pi	4pi/3	2pi
y=f(x)
f(y)

(i) Please fill the table with your preferred trigonometric function, denoted as Y = f(X) and its corresponding inverse function, denoted as f^-1(Y).

(ii) Utilize the graphing tool to depict both functions Y = f(X) and f^-1(Y) on the same graph.

(iii) Observe the tabular values and the graphs of Y = f(X) and f^-1(Y), answer the following:

1. Examine the periodicity of the chosen trigonometric function, Y = f(X), as presented in the table.
2. Discuss the domain and range of both Y = f(X) and f^-1(Y).
3. Determine whether the function Y=f(X) demonstrates even, odd, or neither.