# Functions and Graphs : Heart Disease, Cancer and AIDS - Trends and Real World Implications

1985 1990 1995 2000

Heart Disease 778375 727206 737,563 710760

Cancer 459121 510426 538,455 1220100

AIDS 1700 25370 43115 14999

I do not understand how to plot data. I need to do this for each disease as points in a rectangular coordinate system.

Since I don't understand the first I cannot use a smooth line.

Can the graphs constructed be classified as functions? Explain.

I don't understand why is it reasonable that negative numbers are excluded from both the domain and the range of each of the disease graphs? What would the real-world implications be if these numbers were actually part of the domain and/or range?

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#### Solution Preview

Hi,

Well lets see if I can help you with this. I think from the independent variable is the year and the dependent variable is the incidence in population of the disease. The domain is going to be associated with years. I guess one might be able to come up with a time line with negative years from some relative starting point. Especially if that point were special in treatment of the disease or in a major change in population due to other factors. But in this case, the idea of the domain is to mark years associated with each census of the disease incidence. So it makes little sense to ...

#### Solution Summary

Disease data is modeled as part of a rectangular coordinate system. Real world implications are discussed. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.