Do Now 10/22/09 Copy HW in your planner. Copy HW in your planner. Text p. 209, #4-32 even & 36, 38 Text p. 209, #4-32 even & 36, 38 Take out HW from last night. Take out HW from last night. Cumulative Test Chapters 1-3. Cumulative Test Chapters 1-3. Open your textbook to page 35 and define the word FUNCTION in your notebook. Can you think of something that is a function in real life? Open your textbook to page 35 and define the word FUNCTION in your notebook. Can you think of something that is a function in real life?

Objective SWBAT define and identify functions SWBAT define and identify functions SWBAT will identify and plot points in a coordinate plane SWBAT will identify and plot points in a coordinate plane

FUNCTION- Consists of the following: DOMAIN containing numbers called RANGE containing numbers called INPUTS OUTPUTS Each input must be paired with only ONE output The horizontal axis (x-axis) is labeled with the input variable. The vertical axis (y-axis) is labeled with the output variable. represents a relationship between one variable to another.

FUNCTION “To Be or Not To Be” a FUNCTION 1221Output 12963Input The pairing is a function because each input is paired with exactly one output. NOT A FUNCTION 3210Output 7422Input The pairing is not a function because each input is not paired with exactly one output

FUNCTION “To Be or Not To Be” a FUNCTION 3175Output 5353Input The pairing is a function because each input is paired with exactly one output. NOT A FUNCTION 1010Output 8642Input The pairing is not a function because each input is not paired with exactly one output

Chapter 4 “Graphing Linear Equations and Functions” (4.1) Plot Points in a Coordinate Plane (4.1) Plot Points in a Coordinate Plane (4.2) Graph Linear Equations (4.2) Graph Linear Equations (4.3) Graph Using Intercepts (4.3) Graph Using Intercepts (4.4) Find Slope and Rate of Change (4.4) Find Slope and Rate of Change (4.5) Graph Using Slope-Intercept Form (4.5) Graph Using Slope-Intercept Form (4.7) Graph Linear Functions (4.7) Graph Linear Functions

Coordinate Plane y-axis x-axis Origin (0,0) (0,0) Quadrant I (+,+) Quadrant II (-,+) Quadrant III (-,-) Quadrant IV (+,-)

Plotting Points y-axis x-axis (2,4) (input, output) (2,-3) (-3,4) x – coordinate (input) (input) y – coordinate (output) (output) orderedpair (-6,-4) A B C D

y-axis x-axis (-2,8) Graphing a Function Graph the function y = 4 – 2x with the domain -2, -1, 0, 1, and 2. Then identify the range of the function. xy -286 (-1,6) 04 (0,4)(0,4)(0,4)(0,4) 12 (1,2)(1,2)(1,2)(1,2) 20 (2,0)(2,0)(2,0)(2,0) The range of the function is 8, 6, 4, 2, 0.

Graph a Function Make a table by substituting the domain values into the function. STEP 1 SOLUTION Graph the function y = 2x – 1 with domain – 2, – 1, 0, 1, and 2. Then identify the range of the function. STEP 2 List the ordered pairs: (– 2, – 5),(– 1, – 3), (0, – 1), (1, 1), (2, 3). Then graph the function. STEP 3 Identify the range. The range consists of the y -values from the table: – 5, – 3, – 1, 1, and 3.

Graph a Table In 1920 the ratification of the 19 th amendment to the United States Constitution gave women the right to vote. The table shows the number (to the nearest million) of votes cast in presidential elections both before and since women were able to vote. Years before or since 1920 – 12 – 8 – Votes (millions) Explain how you know that the table represents a function. Explain how you know that the table represents a function. a. Graph the function represented by the table. b.b.

Graph a function SOLUTION The table represents a function because each input has exactly one output. a.a. To graph the function, let x be the number of years before or since Let y be the number of votes cast (in millions). b.b.

Homework Text p. 209, #4-32 even & 36, 38 Text p. 209, #4-32 even & 36, 38 NJASK7 Prep