Ch 1 Real World Functions

My real world function is about high school and their school mascots.
A Function is a set of ordered pairs where for every input (X), there are only one output (Y).

A Relation is a set of ordered pairs.

The Independent Variables are the Domain of the Relation/Function which are represented by the X-Values (Input).
The Dependent Variables are the Range of the Relation/Function which are represented by the Y-Values (Output).

The left table and graph represents the Function of this project. the Indepdendent Variables are the Mascots and the Depdendent Variables are the high schools that uses the mascot.

The right table and graph represents the Relation of the project. The Relation represents why the Function would fail. This Function failed when the same mascot is being used by 2 schools.

The dotted line of both graphs represents the Vertical line test which helps us determine if a graph is a Function.

As you can see. the graph on the left passes the vertical line test but the graph on the right doesn't because there are 2 points that touches the vertical line which tells us that it is not a Function.