# Integers - Functions - System of Two Equations

**Part 1 – functions and non-functions** 1. Define an equation which is a “function.”

2. Give an example of an equation which is a function. Use a set of 4 or more ordered pairs to show the relationship between domain and range in a function.

a) Choose any four integers between 0 and +10 for the domain.

b) Choose any four integers between -12 and 5 for the range.

c) Your example must be your own, unique example. Do not use an example from the textbook, or repeat the example provided by another student.

3. Explain why your example models a function.

4. Give an example of an equation which is not a function. Use a set of 4 or more ordered pairs to show how the relationship between the domain and range differs from the answer in 2.

a) Choose any four integers between 0 and +10 for the domain.

b) Choose any four integers between -12 and 5 for the range.

c) Your example must be your own, unique example. Do not use an example from the textbook, or repeat the example provided by another student.

5. Explain why your example does not model a function.

**Part 2 – System of Two Equations** 6. Select any two integers between -12 and +12 which will become solutions to a system of two equations.

7. Write two equations that have your two integers as solutions.

a) Show how you built the equations using your integers.

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

8. Solve your system of equations by the addition/subtraction method.

a) Make sure you show the necessary 5 steps.

b) Use the example on page 426 of Mathematics in Our World as a guide.

9. Respond to at least two of your classmates’ postings.

a) Do you agree or disagree that their examples model functions?

b) Follow their 5 steps.

c) Do their calculations follow the correct rules of algebra?