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# for michelle lewis only

The purpose of the Signature Assignment is to have you work with real-life data to answer a real-life question using the tools, technology, and skills of MTH/219. In the first week, you must develop a question that can be answered with numerical data and that spans over at least ten years. For example, "How has the population of the world changed over the past 50 years, and when will the population be unsustainable?"

In a Microsoft® Word document, write the topic/question you are addressing, where you plan to find your data even if it is one of the below sources, and why you chose this topic. Your paper should be 30 to 45 words long. You can either choose a topic from the Student Topics and Questions List or can create your own. If you chose to create your own, you must get instructor approval.

Here is a list of possible data sources to find your data:

- Healthcare data
- Educational data
- Criminal data
- Select the type of table under Law Enforcement or Incarcerations.
- Select year
- Then select the type of data you are looking for from the dropdown menus and click on the Microsoft® Excel® table, which will automatically download on your computer.

- Mortgage data
- Census data (Population, economy, business, education, employment, health, housing, income, trade)
- UN data (income, trade, religion, health, poverty)
- Health data
- Globalization, health, and agriculture data
- UCR data (crime)

Solve the following:

1. Solve the inequality:

-2(x - 3) < 10−2(x+3)<10

2. If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will that always be true for that situation?

3. Given the graph of a function, how can you determine its domain and range? Why is it useful to determine a function's domain and range?

4. How can you check the answer to a factoring problem such as 10x2 - 13x - 3 = (2x - 3)(5x + 1)?

5. How do you find the sum or difference of rational expressions with different denominators? Explain the process you use by giving an example.

6. Suppose you are provided with a graph. How can you determine if there is an inverse of this function?