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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%
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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%. “Basketball”
HomeworkPunchline 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” The relationship between age and length can be represented using ordered pairs. (2, 32), (4, 59), (5, 65), (5, 69), (7, 96) The ordered pairsform a RELATION. RELATION a pairing of numbers from one set, called the DOMAIN, with the numbers in another set, called the RANGE.
Consists of the following: RELATION- DOMAIN contains numbers called INPUTS RANGE contains numbers called OUTPUTS The INPUTS are the X-coordinates and the OUTPUTS are the Y-coordinates.
a pairing of numbers from one set, called the DOMAIN, with the numbers in another set, called the RANGE. RELATION Set 1 Set 2 Domain Range Input Output X-coordinate Y-coordinate
2468 1234 RELATION • In addition to using ordered pairs or a table to represent a relation, you can also use a GRAPH or a MAPPING DIAGRAM. MAPPING DIAGRAM GRAPH Input Output
Represent the relation as a graph and mapping diagram. (1,10), (2, 15), (3, 10), (3, 20), (4, 25) MAPPING DIAGRAM GRAPH Input Output 1 2 3 4 10 15 20 25
10 Input gallons 12 13 17 Output dollars 19.99 23.99 25.99 33.98 The domain is the set of inputs: 10, 12, 13, and17.The range is the set of outputs: 19.99, 23.99, 25.99,and 33.98. 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.
2468 0101 35 5123 Is a relation in which for each input there is EXACTLY ONE output. FUNCTION- FUNCTION NOT A FUNCTION Each input must be paired with only ONE output
Is a relation in which for each input there is EXACTLY ONE output. FUNCTION- 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.
36912 1221 Input Input 3 2 6 2 4 9 12 7 Output Output 0 1 1 2 2 2 3 1 247 0123 “To Be or Not To Be” a FUNCTION FUNCTION NOT A FUNCTION 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