The function f\displaystyle {f} is periodic with a period p=8\displaystyle {p}={8} and is an even function.. The function g\displaystyle {g} is periodic with a period q=6\displaystyle {q}={6}. The necessary information for each function is presented below (f\displaystyle {f} in blue and g\displaystyle {g} in green).



We will define a new periodic function R(x)=f(x)g(x)\displaystyle {R}{\left({x}\right)}={f{{\left({x}\right)}}}\cdot{g{{\left({x}\right)}}}.
Answer the following for the function R(x)\displaystyle {R}{\left({x}\right)}.
0. Make a graph of R(x)\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 R\displaystyle {R}?
2. Evaluate R(18.2)=\displaystyle {R}{\left({18.2}\right)}=
3. Evaluate R(28)=\displaystyle {R}{\left({28}\right)}=
4. Evaluate R(71.5)=\displaystyle {R}{\left({71.5}\right)}=
5. Evaluate R(1605)=\displaystyle {R}{\left({1605}\right)}=