1. Formalizing Relations and Functions
Chapter 4 Section 6

2. Objective
Students will determine whether a relation is a function and find domain and range and use function notation.

3. Relation A pairing of numbers in one set
Each independent variable is paired with a dependent variable.

4. Domain The set of independent variables
Usually all the possible X values.

5. Range Set of dependent variables
All the possible solutions to a function.

6. Turn to page 268 Look at Problem 1
Try the “Got It” problem for each example

7. Vertical Line Test
If any vertical line passes through the graph more than one time then the graph is not a function.
Passing more than one time would mean that an X value occurs more than once with a different output.

8. On page 269… Look at Problem 2
Try the “Got It” problem for that example.

9. Function Notation
Y is replaced with F(x); meaning that the equation no longer has two variables but is written as a function of X.

10. On page 269… Look at Problem 3
Try the “Got It” problem for that example.

11. Turn to page 270 Look at Problem 4 and 5
Try the “Got It” problems for those examples.

12. On page 271… Try problems #1-7 on your own
Raise your hand when you are finished.