Linear Equations: Relations and Functions Part 1

​What is a function?

To solve the last problem, you will need to understand functions. A function is when one variable is impacted by another. In this case, there is a fee for shoes and a fee per game. The total cost per student will depend on the number of games. The cost is a function of the games. Learn all that you can and you will be able to figure out the fees at the end of the lesson.

​How did we get this crazy mess?

​Relations and Functions: Recognizing Relations and Functions​

​In this lesson, we will learn to recognize a relation as a set of ordered pairs that relates an input to an output, and a function as relation for which there is exactly one output for each input, using tables.

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When we work with relations and functions, we work with the world of relationships. We look at how one factor impacts or effects another factor.

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What is a relation?

A relation is written as a set of ordered pairs where one value is equal to x and one value is equal to y. What we are really looking at with a relation is the relationship between one factor and another. Let’s think about an example.

​Relations and Functions: Recognizing Relations and Functions​

​A motorcycle has an ordered pair of bikes to tires as (1, 2).

This means that for every one motorcycle there are two tires. This is a relation.

​Relations and Functions: Recognizing Relations and Functions​

​A car has an ordered pair of cars to tires as (1,4).

This means that for every one car that is built, there are four tires. This is a relation.