#### Transcript Do Now 4/22/08

### 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

### “Basketball”

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**

.

### Set 1 Domain Input X-coordinate Set 2 Range Output Y-coordinate

## 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