Do Now 5/19/10Do Now 5/19/10

Take out HW from last Thursday.Take out HW from last Thursday. ““Basketball” worksheet Basketball” worksheet Punchline worksheets #122Punchline worksheets #122

Copy HW in your planner.Copy HW in your planner.Text p. 388, #8-22 evens and #19Text p. 388, #8-22 evens and #19

““Basketball”Basketball”

Read the table on the “Basketball” Read the table on the “Basketball” worksheet. Complete #1-6 using the worksheet. Complete #1-6 using the information provided. information provided.

1) 74.1%1) 74.1% 2) 37.5%2) 37.5% 3) 62.5%3) 62.5% 4) a. 83 free throws; 249 free throws; 4) a. 83 free throws; 249 free throws; b. 36.1%b. 36.1% 5) a. 97 free throws; 194 free throws; 5) a. 97 free throws; 194 free throws; b. 6.7%b. 6.7% 6) He made 67% of his free throws in 6) He made 67% of his free throws in

practice, which is below his season practice, which is below his season average of 69%. average of 69%.

HomeworkHomeworkPunchline worksheet #122Punchline worksheet #122

““Why Did the Flying Saucer Have Why Did the Flying Saucer Have “U.F.O” Printed On It?”“U.F.O” Printed On It?”

IT TOOK IT TOOK UUNLEADED NLEADED FFUEL UEL OONLYNLY

Chapter 8 “Relations and Functions”Chapter 8 “Relations and Functions”Section 8.1 “Relations and Functions”Section 8.1 “Relations and Functions”

Section 8.2 “Linear Equations in Two Variables”Section 8.2 “Linear Equations in Two Variables”

Section 8.3 “Using Intercepts”Section 8.3 “Using Intercepts”

Section 8.4 “The Slope of a Line”Section 8.4 “The Slope of a Line”

Section 8.5 “Slope-Intercept Form”Section 8.5 “Slope-Intercept Form”

Section 8.6 “Writing Linear Equations”Section 8.6 “Writing Linear Equations”

Section 8.7 “Function Notation”Section 8.7 “Function Notation”

Section 8.8 “Systems of Linear Equations”Section 8.8 “Systems of Linear Equations”

Section 8.9 “Graphs of Linear Inequalities”Section 8.9 “Graphs of Linear Inequalities”

ObjectiveObjective

SWBAT use graphs to represent relations SWBAT use graphs to represent relations and functions and functions

Section 8.1 “Relations and Section 8.1 “Relations and Functions”Functions”

The relationship between age and length can be The relationship between age and length can be represented using represented using ordered pairs.ordered pairs. (2, 32), (4, 59), (5, 65), (5, 69), (7, 96)(2, 32), (4, 59), (5, 65), (5, 69), (7, 96)

Age (years), xAge (years), x 22 44 55 55 77

Length (in.), yLength (in.), y 3232 5959 6565 6969 9696

The The ordered pairsordered pairs form a form a RELATIONRELATION. .

RELATIONRELATIONa pairing of numbers from one set, called the a pairing of numbers from one set, called the DOMAINDOMAIN, , with the numbers in another set, called the with the numbers in another set, called the RANGERANGE. .

RELATION-RELATION-Consists of the following:Consists of the following:

DOMAIN DOMAIN contains numbers calledcontains numbers called

RANGE RANGE contains numbers calledcontains numbers called

INPUTSINPUTS

OUTPUTOUTPUTSS

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

RELATIONRELATIONa pairing of numbers from one set, called the a pairing of numbers from one set, called the DOMAINDOMAIN, , with the numbers in another set, called the with the numbers in another set, called the RANGERANGE. .

DomainDomain

InputInput

X-coordinateX-coordinate

RangeRange

OutputOutput

Y-coordinateY-coordinate

Set 1Set 1 Set 2Set 2

RELATIONRELATION In addition to using ordered pairs or a table to In addition to using ordered pairs or a table to

represent a relation, you can also use a represent a relation, you can also use a GRAPHGRAPH or a or a MAPPING DIAGRAMMAPPING DIAGRAM..

GRAPHGRAPH MAPPING DIAGRAMMAPPING DIAGRAM

22446688

11223344

xx 22 44 66 88

yy 11 22 33 44

Input Output

Represent the relation as a graph and mapping diagram.

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

GRAPHGRAPH MAPPING DIAGRAMMAPPING DIAGRAM

1234

10152025

Input Output

Identify the domain and range of a relationIdentify the domain and range of a relation

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

19.99, 23.99, 25.99,19.99, 23.99, 25.99, and and 33.98.33.98.

The domain is the set of inputs:The domain is the set of inputs: 10, 12, 13,10, 12, 13, andand 17.17.TheThe range is the set of outputs:range is the set of outputs:

10Input gallons

Output dollars

12 13 17

19.99 23.99 25.99 33.98

FUNCTION-FUNCTION-

Each input must be paired with Each input must be paired with only only ONEONE output output

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

FUNCTIONFUNCTION

22446688

00110011

NOT A FUNCTIONNOT A FUNCTION

33

55

55112233

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

FUNCTIONFUNCTION NOT A FUNCTIONNOT A FUNCTION

When a relation is represented as a graph, you When a relation is represented as a graph, you can use the can use the VERTICAL LINE TESTVERTICAL LINE TEST. If you can . If you can draw a vertical line through any two points on draw a vertical line through any two points on

the graph, then the relation is NOT a function. the graph, then the relation is NOT a function.

FUNCTIONFUNCTION

““To Be or Not To Be” a FUNCTIONTo Be or Not To Be” a FUNCTION

11222211OutputOutput

1212996633InputInput

336699

1212

11222211

The pairing is a function because The pairing is a function because each input is paired with exactly each input is paired with exactly

one output.one output.

NOT A FUNCTIONNOT A FUNCTION

33221100OutputOutput

77442222InputInput

The pairing is not a function The pairing is not a function because each input is because each input is

not paired with exactly one output.not paired with exactly one output.

22

4477

00112233

HomeworkHomework

Text p. 388, #8-22 evens and #19Text p. 388, #8-22 evens and #19