Methods Analysis help?

[NeedHelpWithStudy]

Hey guys i was wondering if any of you could help me with a few questions. Well there was a question on two guys designing a swing and they were : Henry -  y=3exp(-0.5x) *cos(x)  , Jono -  y=2exp(-0.7x) *cos(2x). Basically you have to sketch this on graphmatica or something and you have to choose your own domain and range . I got stuck at choosing which point to be my final displacement i chose the point at y = 0.01 m but then i wasn't quite sure? . You also had to answer the following : (time is in seconds and displacement is in metres.)
Explain the key features and the relation ship between the graphs?
Please help me   !!

[plato]

I am unclear on the task you have been given and so will adress only the two functions you provide. Rather than do the work for you, I will suggest some questions you could consider.

The motion of both swings are described by the product of two functions.
Which of the two functions suggests the swing is swinging?
Do both swings go back and forth together at the same rate?
If not, what could be a practical cause for this?

What happens to the value of the other function, which acts as a multiplying factor, as time increases?
What do you usually call this "multiplying factor" when applied to the "swinging" function?
How does this affect the "swinging function" in this example?
How long would you expect a person to stay on a swing that is swinging as described by these functions?

If you can understand and answer these questions in the context you have described, you will be able to answer the problem by yourself. Then you will have gained a greater understanding that you can later apply to different, yet similar practical situations.