1. Warm-Up
1) Write the Now-Next equation for each sequence of numbers. Then find the 10th term of the sequence. a) – 3, 5, 13, 21, … b) 2, – 12, 72, – 432, … 2) Write an input/output explicit rule for each table. Then predict the output when the input is -20.
Input
Output 2 5 4 7 -7 -4
1.5
3.5
Input
Output -6
-11 -2 -3 2 5 9 19 b) a)

2. HW Check – 3.3

3. Testing for Functions

4. Recall: Function
A function is a relation from one set (called the__________) to another set (called the ___________) that assigns to each input value exactly ________ output value.

5. Relations can be represented in 4 different ways
Table
Equation
Graph
Mapping Diagram

8. Is the relation a Function?
If given a graph of a relation and asked to determine if the relation is a function: Use the VERTICAL LINE TEST
If any vertical line passes through more than one point of the graph, the relation is not a function.

11. a. (city, zip code) b. (phone #, area code)
EXAMPLE Does each relationship of the form (input, output) represent a function? If the relationship does not represent a function, find an example of one input that has two or more outputs.
a. (city, zip code) b. (phone #, area code)
c. (person, birth date)
d. (last name, first name)
e. (state, capital)

12. Coming up….
HW 3.4
QUIZ 3.2 Friday