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.

The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002.
Heart Disease: Year:(1985) 771169 Year:(1990) 720058 Year:(1995) 737563 Year:(2002) 696,947
Cancer: Year:(1985) 461563 Year:(1990)

In the realworld, what might be a situation where it is preferable for the data for form a relation but not a function?
All I found was Edgar Cobb who invented the relational module while working at IBM in the late 1960's. Am I on the right track? Help?
When might a reversal of variables be useful in the realworld?

In the realworld, what might be a situation where it is preferable for the data to form a relation but not a function?
I found the formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. It gave me the following data points:
Fahrenheit Celsius
Freezing point of water 32 0
Boiling po

1.SOLVE A=1/2H(b1+b2) for b2
2. write 3-square root-36 in standard form Linear Functions
3.Find the slope of the line passing through the points (-2, 4) and (-3, 5).
a.1 b.-1 c.-9/5 d.-5/9
Zeros of Polynomial Functions
4.Find the zeros of P(x) = (

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks:
The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002.

FUNCTIONS
1. Find all functions from X = {a, b, c} to Y = {u, v}.
2. Let F and G be functions from the set of all real numbers to itself. Define new functions F - G: R R and G - F: R R as follows:
(F - G)(x) = F(x) - G(x) for all x R,
(G - F)(x) = G(x) - F(x) for all x R.
Does F - G = G - F? Explain.
3. Le