1. 2.1: Relations and Functions
2.2: Linear Equations

2. Relation Ex1) Graph the coordinate points: (–3, 3), (2, 2), (–2, –2),
(0, 4), (1, –2)
A relation is a set of pairs of input (x) and output (y) values.
Written:
{(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}.

3. Relation {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}
Domain – the set of all inputs of a function, x-coordinates, independent variable
Domain: {-3, -2, 0, 1, 2 }
Range - the set of all outputs of a function, y-coordinates, dependent variable
Range: { -2, 2, 3, 4 }

4. Relation Ex2) Write the ordered pairs for the relation.
Find the domain and range.

5. Mapping Diagrams Ex3) {(–3, 3), (2, 2), (–2, –2), (0, 4), (1, –2)}.
Domain
Range

6. Functions
A function is a relation in which each input value is paired with only one output value.
Range (BIRTHDAY)
Domain (YOU)

7. Functions
A function is a relation in which each input value is paired with only one output value.
Domain
Range
Domain
Range 2 3 4 7 5 6 8 -2 5 -1 3 4
Function?
Function?

8. Vertical Line Test
Vertical Line Test: If a vertical line passes through at least two points on the graph, the relation is not a function.
Ex4) {(-2, -1), (0, 3), (-2, 3), (5, 4)}
Ex5) {(3, 6), (2, 6), (7, 8), (4, 5)}

9. Vertical Line Test
Ex6) Are these relations functions? If so, describe the domain and range

10. Function Notation

11. What is Slope??

12. Slope

13. Slope (cont.) What does it mean if the slope is zero?
What does it mean if the slope is Undefined?

14. Homework #9: Pg 59 #1-29 odd Pg 67 #11-19 odd
2.1: Relations and Functions
2.2: Linear Equations
Homework #9:
Pg 59 #1-29 odd
Pg 67 #11-19 odd