1. Warm-Up Fill in the tables below for each INPUT-OUTPUT rule. 3)
Using your graphing calculator list the first 4 values for each recursive sequence. Then write the recursive rule.
-2 enter 2) 1 enter
ANS + 7, enter ANS *3, enter
Fill in the tables below for each INPUT-OUTPUT rule. 3)
1, 3, 9, 27
-2, 5, 12, 19
Start = 1
Now *3 = Next
Start = -2
Now + 7 = Next 4 6 8 10 12

2. HOMEWORK QUESTIONS??

3. functions

4. Functions

5. Investigation

6. Investigation
Function: a relation where each input (x) has exactly one output (y)
Domain: the independent variable. Also known as the input or x - value.
Range: the dependent variable. Also known as the output or y - value.

7. Example 1: State the domain and range for each table
Example 1: State the domain and range for each table. Then tell whether each table represents a function. Explain why or why not. x y 1 3 2 6 9 4 12 5 15

8. Example 2
State the domain and range for each mapping. Then tell whether each mapping diagram represents a function. Explain why or why not.

9. Example 3
State the domain and range for each set of ordered pairs. Then tell whether each set represents a function. Explain why or why not.

10. Example 4
List the ordered pairs for the points of each graph. Is each graph a function? a. b.

11. Vertical Line Test
Some graphs contain too many points to list. To decide if a graph is a function, use the vertical line test. If a vertical line touches more than one point on the graph, it is not a function.

12. Example 5
Use the vertical line test to determine which relationships are functions. y x

13. YOUR Task!!
With your group, create one mapping, table, and an ordered pair set that is a function
Then, create one mapping, table, and ordered pair set that is not a function.
Explain the difference between the two in 2-3 complete sentences.