# Graphs

Relate the application to the specific graph (line, parabola, hyperbola, exponential).

Describe the characteristics of each application as related to the graph.

All of the graphs in this lesson occur in real life. Using the Cybrary, web resources, and other course materials, find a real-life application of each graph.

? Relate the application to the specific graph (line, parabola, hyperbola, exponential).

? Describe the characteristics of each application as related to the graph.

1) Find a real life application of a straight line (not a line graph, but a graph that is a straight line). There are several in the book and on the web. Describe the characteristics of the graph and how it relates to real life. You do not need to include the graph unless you want to, but make sure you describe it in detail! Remember if you do include your graph, you will most likely need to upload the file. Cite your sources (include page number if you obtain it from a book)!

2) Find a real life application of a parabola. There are several in the book and on the web. Just do a search for "application of parabolas" or something along those lines. Describe the characteristics of the graph and how it relates to real life. You do not need to include the graph unless you want to, but make sure you describe it in detail! Remember if you do include your graph, you will most likely need to upload the file. Cite your sources!

3) Do the same thing as in 2) for a hyperbola. Cite your sources!

4) Do the same thing as in 2) for an exponential function. What makes this application exponential? Cite your sources!

Example: If I were doing this post for a cubic (3rd degree polynomial).

On p. 274 of the Rockswald text I found that a Summer Bird population can be modeled by a cubic function : f(x)=x^3-61x^2+839x+4221. Along the x axis are the days and on the y-axis is the bird population. At day 0 the population is 5000 and at day 30 it dips to a low of about 1700. It models a cubic because it increases, decreases, and then increases again.

#### Solution Preview

I'll give you the examples and the websites where I found them, and you can expand them for you assignment. There are pictures of the graphs on the websites if you want to look at them.

1) Find a real life application of a straight line (not a line graph, but a graph that is a straight line). There are several in the book and on the web. Describe the characteristics of the graph and how it relates to real life. You do not need to include the graph unless you want to, but make sure you describe it in detail! Remember if you do include your graph, you will most likely need to upload the file. Cite your sources (include page number if you obtain it from a book)!

http://jwilson.coe.uga.edu/emt668/EMAT6680.Folders/Barron/unit/Lesson%204/4.html

An example of a linear graph is the ...

#### Solution Summary

The solution includes "real-world" examples of four types of graphs (linear, quadratic or parabolic, exponential, and hyperbolic). The websites where each example was found, as well as other websites with more examples, are also included.