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Functions and Graphs: Trends and Real World Implications

Plot your data for each disease as points in a rectangular coordinate system.
Year...................1985..........1990..........1995......2002
Heart Disease 771,169 720,058 684,462 162,672
Cancer 461,563 505,322 554,643 557,271
AIDS * 8,000 25,188 39,979 14,095

- Use individual graphs to plot each disease.
- Using a smooth line, connect the data points for each disease graph.
- Using each curve, make a reasonable prediction as to the number of deaths we might expect in 2005 due to each of these medical conditions

From this information I need to answer:
1. Can the graphs that you constructed be classified as functions? Explain.
2. 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?

Solution Preview

Please see the attached files for the complete solution. All graphs are in the Word document.

Using each curve, make a reasonable prediction as to the number of deaths we might expect in 2005 due to each of these medical conditions

Heart Disease: looks definitely under 100,000 actually following the curve it is showing something near zero but how can that be?
Cancer: ...

Solution Summary

In this solution, functions and graphs are discussed with regard to Heart Disease, Cancer and AIDS. The solution is detailed and well presented and also has been completed in an Excel and a Word document file which are both attached. All the calculations required to construct the graphs are shown in the Excel attachment.

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