This week in math 10, we learned about functions and relations. This unit was different from others because of its extensive vocabulary and simple math. Something I learned this week was how to tell apart a function from a regular relation. Functions are special because each domain only has one pair, and relations can have multiple pairs for the domain. If you look at a graph and see two or more dots underneath another dot, that means it is no longer a function because it isn’t special. A function would look like no dots overlapping underneath another dot. For example, this series of coordinates is not a function {(2,3)(2,4)(8,6)} because there are more than one domain that is the same number. Now this series of coordinates {(2,3)(3,4)(8,6)} is a function because there is only one domain for each of the coordinates. Here’s an example of a graph that is a function:
And this is an example of a relation:
