## MAT 126 - MAT 126 WEEK 3 DQ 1

**Week Three Discussion 1**. This Discussion will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete.

**Part 1**

a. In your own words, define the word “function.”

b. Give your own example of a function using a set of at least 4 ordered pairs. The **domain**will be any four integers between 0 and +10. The **range **will be any four integers between -12 and 5. **Your example should not be the same as those of other students or the textbook**. There are thousands of possible examples.

c. Explain why your example models a function. This is extremely important for your learning.

d. Give your own example of at least four ordered pairs that ** does not **model a function. The

**domain**will be any four integers between 0 and +10. The

**range**will be any four integers between -12 and +5.

**Your example should not be the same as those of other students or the textbook**. There are thousands of possible examples.

e. Explain why your example ** does not **model a function.

**Part 2**

a. Select any two integers between -12 and +12 which will become solutions to a system of two equations.

b. Write ** two equations **that have your two integers as solutions. Show how you built the equations using your integers.

**Your solution and equations should not be the same as those of other students or the textbook**. There are infinite possibilities.

c. Solve your system of equations by the **addition/subtraction method**. Make sure you show the necessary 5 steps. Use the example on page 426 of *Mathematics in Our World *as a guide.

d. Do you agree or disagree that their examples model functions? Follow their 5 steps. Do their calculations follow the correct rules of algebra?

Your initial post should be at least 150-200 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references. Respond to at least two of your classmates’ posts by Day 7.