The function $\displaystyle {f}$ is periodic with a period $\displaystyle {p}={10}$ and is an odd function.. The function $\displaystyle {g}$ is periodic with a period $\displaystyle {q}={2}$. The necessary information for each function is presented below ($\displaystyle {f}$ in blue and $\displaystyle {g}$ in green).

We will define a new periodic function $\displaystyle {R}{\left({x}\right)}={f{{\left({x}\right)}}}-{g{{\left({x}\right)}}}$.
Answer the following for the function $\displaystyle {R}{\left({x}\right)}$.
0. Make a graph of $\displaystyle {R}{\left({x}\right)}$ the spans at least two periods (this of course will not be entered into wamap, but you should still do it a few times).
1. What is the period of the function $\displaystyle {R}$?
2. Evaluate $\displaystyle {R}{\left({3.8}\right)}=$
3. Evaluate $\displaystyle {R}{\left({11}\right)}=$
4. Evaluate $\displaystyle {R}{\left({28.9}\right)}=$
5. Evaluate $\displaystyle {R}{\left({174}\right)}=$