1. Domain-Range f(x) Notation
Functions
Domain-Range
f(x) Notation

2. What is a Relation?
A relation is just a set of ordered pairs. There is absolutely nothing special at all about the numbers that are in a relation. In other words, any bunch of numbers is a relation so long as these numbers come in pairs.

3. Domain-Range
The collection of all input values is called the “Domain”.
Most likely will be the x-values.
The collection of all output values is called the “Range”.
Most likely will be the y-values.
A relation is a function if and only if each input corresponds to one output.

4. Identify the Domain & Range
Is the relation a function?

5. Identify the Domain & Range
Is the relation a function?

6. Identify the Domain & Range
Is the relation a function?

7. ≠ ╖ ± ≥ ÷ × ∞ µ ≠ ╖ ≥ ÷ × ∞ µ Make 2 Relations Function Not a Function
x (or Input)
y (or Output) ≠ ╖ ≥ ÷ × ∞
x (or Input)
y (or Output) ≠ ╖ ≥ ÷ × ∞

8. Vertical Line Test
if a vertical line intersects the relation's graph in more than one place, then the relation is NOT a function.

9. Is this relation a function?
Turn to your neighbor and explain why or why not.

10. Is this relation a function?
Turn to your neighbor and explain why or why not.

11. Is this relation a function?
Turn to your neighbor and explain why or why not.

12. f(x) Notation
Plug in.
Evaluate.

13. You Try Some!