Example 1: Name an Ordered Pair Example 2: Name an Ordered Pair Main Idea New Vocabulary Example 1: Name an Ordered Pair Example 2: Name an Ordered Pair Example 3: Graph Ordered Pairs Example 4: Graph Ordered Pairs Key Concept: Relations Example 5: Relations as Tables and Graphs Example 6: Real-World Example: Relations as Tables and Graphs Lesson Menu

Graph rational numbers on the coordinate plane and use the coordinate plane to represent relations. Main Idea

coordinate plane x-coordinate y-coordinate relation domain range origin y-axis x-axis quadrants ordered pair Vocabulary

Name the ordered pair for point A. Name an Ordered Pair Name the ordered pair for point A. ● Start at the origin. ● Move right to find the x-coordinate of Point A, which is 2. ● Move up to find the y-coordinate, which is Answer: So, the ordered pair for Point A is Example 1

Name the ordered pair for point A. B. C. D. Example 1 CYP

Name the ordered pair for point B. Name an Ordered Pair Name the ordered pair for point B. ● Start at the origin. ● Move left to find the x-coordinate of Point B, which is –2 ● Move down to find the y-coordinate, which is –2. Answer: So, the ordered pair for Point B is . Example 2

Name the ordered pair for point B. C. D. Example 2 CYP

Graph J(–3, 2.75) on a coordinate plane. Graph Ordered Pairs Graph J(–3, 2.75) on a coordinate plane. ● Start at the origin and move 3 units left. Then move up 2.75 units. ● Draw a dot and label it J(–3, 2.75). Example 3

Graph Ordered Pairs Answer: Example 3

Graph M(–2, –3.25) on a coordinate plane. A. B. C. D. Example 3 CYP

Graph on a coordinate plane. Graph Ordered Pairs Graph on a coordinate plane. ● Start at the origin and move 4 units right. Then move down or 1.25 units. ● Draw a dot and label it Example 4

Graph Ordered Pairs Answer: Example 4

Graph on a coordinate plane. A. B. C. D. Example 4 CYP

Key Concept

Relations as Tables and Graphs Express the relation {(4, 2), (6, –1), (5, –3), (–2, –3)} as a table and a graph. Then state the domain and range. Place the ordered pairs in a table with x-coordinates in the first column and the y-coordinates in the second column. Example 5

Relations as Tables and Graphs Graph the ordered pairs on a coordinate plane. Answer: The domain is {–2, 4, 5, 6}. The range is {–3, –1, 2}. Example 5

A. domain: {–4, 2, 3, 6}; range: {–8, 0, 1, 5} State the domain and range of the relation {(3, 5), (–4, 0), (2, –8), (6, 1)}. A. domain: {–4, 2, 3, 6}; range: {–8, 0, 1, 5} B. domain: {2, 3, 4, 6}; range: {0, 1, 5, 8} C. domain: {–8, 0, 1, 5}; range: {–4, 2, 3, 6} D. domain: {3, –4, 2, 6}; range: {5, –8, 1} Example 5 CYP

Relations as Tables and Graphs A. PIES Mike is buying pies for a party. The price for 1 pie is $4. Make a table of ordered pairs in which the x-coordinate represents the number of pies and the y-coordinate represents the total cost for 2, 3, 4, and 5 pies. Answer: Example 6

Relations as Tables and Graphs B. PIES Mike is buying pies for a party. The price for 1 pie is $4. Graph the ordered pairs. Answer: Example 6

A. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Make a table of ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones. A. B. C. D. Example 6A CYP

B. RINGTONES Caden can download ringtones for his cellular phone for $2.00 each. Graph the ordered pairs in which the x-coordinate represents the number of ringtones and the y-coordinate represents the total cost for 2, 3, 4, and 5 ringtones. A. B. C. D. Example 6B CYP