2. Applying rational functions

Choosing a Career

Choose a career that uses rational functions. You may research and find one that interests you or you can choose one of the following:

If you choose one of the options not on this list, please send your topic to your teacher for approval.

Photography

Economics

Medicine

Music

Question 2 

Compiling Research

Begin compiling research on your chosen topic. You will need:

Background information on your career.

To know how rational functions are used in this field.

To make sure to properly track your sources as you come across relevant material. (2-4 reliable sources)

4) Calculations

. Either using a rational function found in your research or modelling your own scenario with one, explain the function and why it is relevant in your chosen career.

• Calculate x-intercepts, y-intercepts, asymptotes, holes, maximum and minimum values (you may use technology to find the max and min values), defining intervals, domain and range. Interpret your results in the context the field. If there are no asymptotes or holes, then use a sample function to explain a situation where each of these could occur.

• Using this information, graph the function by hand. Your graph must include appropriate labels.

• Graph your function using technology. If this graph is different than the one you have produced, graph it on your sketch using a different colour and a legend to show the difference between your sketch and the graph that technology produced.

• Using the graph, what do the maximum and minimum values represent?

5) Conclusions

The conclusion should be a short paragraph summarizing your results.

6) Sources Cited

. Make sure to use the APA format to cite your sources used for this assignment (2-4 sources).