1. Function or Not?
3.06

2. Determine the characteristics of The relations Given
Identify if each is:
Continuous or Discrete
Linear or Non-linear
If linear, identify the equation of the line

3. Characteristics of Relations
Continuous or Discrete?
Discrete
Linear or Non-linear?
Linear
y = 2x + 3
Function or not?
Function

4. Function or not?
Go back to each graph and determine if each relation is a function or not a function.

5. Vertical Line Test
A visual way to determine if a relation is a function or not
Draw vertical lines for every x-value in the domain to see if they cross the relation more than once.
If each line crosses the relation only once, it is a function.

6. What if I don’t have a Graph?
As a team, determine if each relation given is a function without graphing the points.
Be creative and organized!

7. Mapping
If you are not given a graph, there are many different ways to organize your information to determine if you have a function or not. One method is called mapping.
Write the domain in one oval and the range in another.
Draw lines to connect the x-values to their matching y-values
Determine if any x-values have more than one y-value

8. Mapping Function! Not a function! Relation A:
(-5, -2) (-1, -8) (9, -8) (4, 8)
Function!
Relation B:
(-5, -8) (4, 8) (-5, -2)
Not a function!

9. Practice Mapping
As a team, try the mapping method on your paper.

10. What method do you prefer?
Determine if the final two relations are functions or not.
Your justification can be in words, a map, a graph, or work shown in any method that you would like.