Lesson Menu 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

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

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

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

Example 2 Name the ordered pair for point B. Name an Ordered Pair ●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 CYP Name the ordered pair for point B. A. B. C. D.

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

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

Example 4 Graph Ordered Pairs Answer:

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

Key Concept

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

Example 5 CYP 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 6 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. Relations as Tables and Graphs Answer:

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

Example 6A CYP 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 6B 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.