1. Bell Work 1/20/15
Write in slope-intercept form the equation of the line passing through the given point and PERPENDICULAR to the given line.

2. Yesterday’s Homework Any questions?
Please pass your homework to the front.
Make sure the correct heading is on your paper.
Is your NAME on your paper?
Make sure the homework is 100% complete.
Incomplete work will NOT be accepted.

3. Relations and Functions
Heading
4/17/2017
Relations and Functions
TSWBAT: tell if a relation is a function or not.
Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.

4. Notes Domain (the inputs) Range (the outputs) Relation Function
= all of the x-values of an ordered pair.
Range (the outputs)
= all of the y-values of an ordered pair.
Relation
= Any set of ordered pairs.
EVERYTHING is a relation.
ALL ordered pairs and ALL lines.
Function
= A relation where for every input there is exactly one output.
Every function is a relation.

5. Notes D R D R D R D R Function or not? Ex. Ex. Ex. Ex. Function
Now you try.
Function or not?
Ex.
Ex.
Ex.
Ex.
D R
D R
D R
D R
Function
Not a Function
Not a Function
Function

6. Notes
Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?
Ex.

7. Notes
Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?
Ex.

8. Notes
Now you try.
Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?
Ex.

9. Notes Vertical Line Test
= A graph is a function if no vertical line touches more than one point.
Function or not?
Ex.
Run a vertical line through the entire graph.
Do I ever hit the graph more than once?
Not a Function

10. Notes
Now you try.
Function or not?
Ex.
Ex.
Function
Function

11. Notes Function or not? Ex. Ex. Not a Function Not a Function
Now you try.
Function or not?
Ex.
Ex.
Not a Function
Not a Function

12. Summary
Everything is a _______. A function is a relation that for every input there is only ____ output. With a graph, all you have to do is use the Vertical Line ____ to determine if something is a ________.
relation
one
Test
function

13. Ticket Out the Door
Complete the Ticket Out the Door without talking!!!!!
Talking = time after the bell!
Put your NAME on the paper.
When finished, turn your paper face DOWN.
Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?

14. Today’s Homework Rules for Homework Pencil ONLY.
Must show all of your work.
NO WORK = NO CREDIT
Must attempt EVERY problem.
Always check your answers.

15. Homework
Express each relation as a table, as a graph, and as a mapping diagram. What is the domain and range? Is it a function?
Function or not? 4. 5. 6.