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