1. Functions
Introduction

2. Essential Questions What is a function?
What are the different ways that functions may be represented?
How can functions be used to model real world situations, make predictions, and solve problems?

3. Definitions Independent Variable Function Dependent Variable Domain
Ordered Pair
Mapping Diagram
Table
Graph
Equation for a function
Function notation
Relation
Function
Domain
Range
Vertical Line Test/Pencil Line Test
Input
Output

4. Independent Variable
A variable that provides the input values of a function

5. Dependent Variable
A variable that provides the output values of a function

6. Ordered Pair
Two numbers that identify the location of a point

7. Mapping Diagram
Shows how the elements, independent and dependent variables, are paired. Its like a flow chart for a function, showing the input and output values.

8. Table
Organizes the independent and dependent variables and their pairing with one another

9. Graph
A diagram showing the relationship between two variables

10. Equation for a function
A mathematical way of writing the relationship between variables

11. Function Notation
To write in function notation you use the symbol f(x) in place of y

12. Relation
Any set of ordered pairs

13. Function
A relation that assigns exactly one value in the range to each value in the domain

14. Domain The possible values for the input of a relation or function
X-values

15. Range The possible values for the output of a relation or function
Y-values

16. Vertical Line Test
Used to determine whether the graph of a relation is a function based on the definition of a function
Not A Function!!!

17. Input
A value of the independent variable

18. Output
A value of the dependent variable