1. Relation: a set of ordered pairs Domain: the set of x-coordinates
Relations & Functions
Relation: a set of ordered pairs
Domain: the set of x-coordinates
Range: the set of y-coordinates
When writing the domain and range, do not repeat values.

2. Relations and Functions
Relations can be written in several ways: ordered pairs, table, graph, or mapping.

3. Relation as Table
{(3, 4), (7, 2), (0, -1),
(-2, 2), (-5, 0), (3, 3)}

4. Mapping
{(2, -6), (1, 4), (2, 4), (0, 0), (1, -6), (3, 0)} 2 1 3 -6 4

5. y-values can be repeated.
Functions
A function is a relation in which the members of the domain (x-values) DO NOT repeat.
So, for every x-value there is only one y- value that corresponds to it.
y-values can be repeated.

7. Homework: Complete Maintenance Sheet #11
21. 68
23. 5
24. 30
36. 12

8. Glue/Tape: Standards/Concept Map/I can statements/Vocabulary Terms
MCC8.F.1 Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
MCC8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.
I can explain what a function is.
I can determine if a table, graph, or set of ordered pairs is or is not a function and justify my conclusion.
Unit 4: Relation and Function

9. Functions
Discrete functions consist of points that are not connected.
Continuous functions can be graphed with a line or smooth curve and contain an infinite number of points.

10. Y = 3x +1 Y = 2x Equations of a Function
Some functions can be written as equations in two variables. The independent variable represents the input (x) of a function. The dependent variable represents the ouput(y) of a function.
y = x2 -3
y = x3
Y = 3x +1
*always make a table of values to make sure your independent variable (x) does not repeat
Y = 2x

11. Graphs of a Function
Vertical Line Test:
If a vertical line is passed over the graph and it intersects the graph in exactly one point, the graph represents a function.

12. Does the graph represent a function? Name the domain and range.x y
Yes
Bc the x value does not repeat x y

13. Does the graph represent a function? Name the domain and range.x y No
Bc the x value does repeat/ ex: (3,2) and (3,-1)
Bc the x value does repeat/ ex: (2,4) and (2, -5) x y

14. Does the graph represent a function? Name the domain and range.x y
Yes
Bc the x value does not repeat No
Bc the x value does repeat. Ex. (2,0), (2,1). Etc… x y

15. *Teacher instructed Group
I NEED HELP!!!!!!!!!!!!!!!!!
*Teacher instructed Group
I ALMOST GOT IT!!!
Task 1: Blendspace: take notes & watch videos
Task 2: Complete Packet
-Relation, Function, Domain and Range Handout
-Introduction to Functions Activity (Create your own)
-Domain and Range Review Sheet
I GOT IT!!!!!!!
Task 1:
-Complete Packet
Task 2: Ipads
Task 3:Challenge Handout/ What’s my Rule

16. What are characteristics of a function?