1. 2.3 Represent Relations & Functions p. 33

3. Relations Input Output Input Output Domain Domain Range Range
relation: a mapping, or pairing, of input values with output values
Input
Output
Input
Output 5 -2 5 -2 -1 3 -1 3 -3 -3 7 9 7 9
Domain
Domain
Range
Range

4. Relations As Ordered Pairs
You can write a “relation” as ordered pairs… 5 -2 5 -2 -1 3 -1 3 -3 -3 9 7 9 7

5. Functions Function Relation
function: a relation for which each input value has ________ ____ output value. 5 -2 5 -2 -1 3 -1 3 -3 -3 9 7 9 7
Function
Relation

6. Vertical Line Test
By the vertical line test, a relation is a function if and only if no vertical line intersects the graph of the relation at more than ______ point.

7. More Vocabulary An equation in 2 variables has an:
( ) ( )
An ordered pair (x, y) is a solution of an equation in two variables if substituting x and y into equation produces a _______ statement
The graph of an equation in two variables is the set of all points (x, y) that represent _________ of the equation.

8. More Vocabulary
A linear function can be written in the form _________ where m and b are constants, or in function notation as ____________.
A function is one-to-one if no two values in the domain have the same value in the range.

9. Ex. 1: Represent relations & identify functions

10. Guided Practice p. 34 #1-2

11. Ex. 2: Graph an EQ in 2 variables
Graph y = 3x + 2

12. Ex. 3: Classify & evaluate functions

13. Homework
Use graph paper…
Pg. 35, 1 – 27 odds