Based on the table given, answer the following questions: X 0 \frac{\pi}{3} \frac{2\pi}{3} \frac{ \pi }{2} \pi \frac{4 \pi }{3} 2 \pi Y=f(X) f-1(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: Examine the periodicity of the chosen trigonometric function, Y = f(X), as presented in the table. Discuss the domain and range of both Y = f(X) and f-1(Y). Determine whether the function Y=f(X) demonstrates even, odd, or neither.