### Do Now 5/19/10

 Take out HW from last Thursday.

 “Basketball” worksheet  Punchline worksheets #122  Copy HW in your planner.

 Text p. 388, #8-22 evens and #19

 Read the table on the “Basketball” worksheet. Complete #1-6 using the information provided.       1) 74.1% 2) 37.5% 3) 62.5% 4) a. 83 free throws; 249 free throws; b. 36.1% 5) a. 97 free throws; 194 free throws; b. 6.7% 6) He made 67% of his free throws in practice, which is below his season average of 69%.

### Homework Punchline worksheet #122 “Why Did the Flying Saucer Have “U.F.O” Printed On It?” IT TOOK UNLEADED FUEL ONLY

Chapter 8 “Relations and Functions” Section 8.1 “Relations and Functions” Section 8.2 “Linear Equations in Two Variables” Section 8.3 “Using Intercepts” Section 8.4 “The Slope of a Line” Section 8.5 “Slope-Intercept Form” Section 8.6 “Writing Linear Equations” Section 8.7 “Function Notation” Section 8.8 “Systems of Linear Equations” Section 8.9 “Graphs of Linear Inequalities”

### Objective

 SWBAT use graphs to represent relations and functions

### Section 8.1 “Relations and Functions”

Age (years), x Length (in.), y 2 32 4 59 5 65 5 69 7 96 The relationship between age and length can be represented using

ordered pairs.

(2, 32), (4, 59), (5, 65), (5, 69), (7, 96) The

ordered pairs

form a

RELATION

.

### RELATION

a pairing of numbers from one set, called the

DOMAIN

, with the numbers in another set, called the

RANGE

.

## RELATION-

Consists of the following: DOMAIN contains numbers called RANGE contains numbers called

INPUTS OUTPUTS

The INPUTS are the X-coordinates and the OUTPUTS are the Y-coordinates.

## RELATION

a pairing of numbers from one set, called the

DOMAIN

, with the numbers in another set, called the

RANGE

.

## RELATION

x y 2 1 4 2 6 3 8 4  In addition to using ordered pairs or a table to represent a relation, you can also use a GRAPH or a MAPPING DIAGRAM .

GRAPH

MAPPING DIAGRAM

Input 2 4 6 8 Output 1 2 3 4

Represent the relation as a graph and mapping diagram .

(1,10), (2, 15), (3, 10), (3, 20), (4, 25) GRAPH

MAPPING DIAGRAM

Input 1 2 3 4 Output 10 15 20 25

Identify the domain and range of a relation

The input-output table shows the cost of various amounts of regular unleaded gas from the same pump. Identify the domain and range of the relation.

Input gallons Output dollars

10 12 13 17 19.99 23.99

25.99

33.98

The domain is the set of inputs:

10, 12, 13,

and

17.

The range is the set of outputs:

19.99, 23.99, 25.99,

and

33.98.

## FUNCTION-

Is a relation in which for each input there is EXACTLY ONE output.

FUNCTION NOT A FUNCTION

2 4 6 8 0 1 0 1 3 5 5 1 2 3 Each input must be paired with only ONE output

## FUNCTION-

Is a relation in which for each input there is EXACTLY ONE output.

FUNCTION NOT A FUNCTION

When a relation is represented as a graph, you can use the

VERTICAL LINE TEST

. If you can draw a vertical line through any two points on the graph, then the relation is NOT a function.

“To Be or Not To Be” a FUNCTION Input Output

3 1 6 2 9 2 12 1

FUNCTION

3 6 9 12 1 2 2 1

Input Output

2 0 2 1 4 2 7 3

NOT A FUNCTION

2 4 7 0 1 2 3

The pairing is a function because each input is paired with exactly one output.

The pairing is not a function because each input is not paired with exactly one output.

### Homework

 Text p. 388, #8-22 evens and #19