1. Objective: Students will identify the domain and range of ordered pairs and graphs.

2. Definition Non-linguistic Representation Example Non-Examples Domain of a function: the collection of all _____ values of a function. x y (3,4) (-2,1) (4,-5) Input Output 0 3 1 5 2 7 3 9 4 11 Domain is ________________________. Input Output 0 3 1 5 2 7 3 9 4 11 Domain is not _____________________. Domain Also known as ________.

3. Definition Non-linguistic Representation Example Non-Examples Range of a function: the collection of all _____ values of a function. x y (3,4) (-2,1) (4,-5) Input Output 0 3 1 5 2 7 3 9 4 11 Range is ________________________. Input Output 0 3 1 5 2 7 3 9 4 11 Range is not _____________________. Range Also known as ______.

4. How does domain and range relate to ordered pairs? Domain - set of x-values. Range - set of y-values. { (3, -2), (4, 1), (-3, -4), (0, 2), (-4, 0) } 1) State the domain. 2) State the range. 3) Plot the Points { 3, 4, -3, 0, -4} { -2, 1, -4, 2, 0 } x y Set Notation

5. Find the domain and range of the coordinate points. 1. {(1,3),(2,4),(5,6),(2,3)} Domain: {1,2,5} Range: {3,4,6} 2.2. x y 56 78 98 106 Domain: {5,7,9,10} Range: {6, 8}

6. Find the domain and range of the coordinate points. 3. {(-2,5),(-2,6),(-2,7)} Domain: {-2} Range: {5,6,7} Domain: {-9,-7,-5,-3} Range: {3,4,5,6} 4.4. input output -9 6 -7 5 -5 4 -3 3

7. Find the domain and range of the coordinate points. 5. {(12,-15),(13,-17),(14,-19)} Domain: {12,13,14} Range: {-15,-17,-19} Domain: {-8,-7,-6,-5} Range: {3,4,5,6} 6.6. input output -8 6 -7 5 -6 4 -5 3

8. How does domain and range relate to graphs? x y Name three integer coordinate points that lie on the ray. (-1,1), (2,3), (6,6) Are there more coordinate points that are rational numbers? YES!! Example: (0.5, 2)

9. How does domain and range relate to graphs? x y How does this affect the the domain and range? Domain: Range: or all real numbers greater than or equal to –1. or all real numbers greater than or equal to 1

10. How does domain and range relate to graphs? y x What is the domain and range of this graph? Domain: Range: All real numbers. All real numbers greater than or equal to 0.

11. What is the domain and range of the graph? Domain: Range: All real numbers. All real numbers less than or equal to 0. x y

12. Use your whiteboard to write the domain of each of the following. x y 1. 2. {(0,3),(4,5),(-3,2)} 3. Input Output 3 5 -9 -2 7 0 4