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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
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Graph rational numbers on the coordinate plane and use the coordinate plane to represent relations.
Main Idea
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coordinate plane x-coordinate y-coordinate relation domain range
origin y-axis x-axis quadrants ordered pair Vocabulary
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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
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Name the ordered pair for point A.
B. C. D. Example 1 CYP
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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
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Name the ordered pair for point B.
C. D. Example 2 CYP
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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
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Graph Ordered Pairs Answer: Example 3
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Graph M(–2, –3.25) on a coordinate plane.
A. B. C. D. Example 3 CYP
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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 units. ● Draw a dot and label it Example 4
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Graph Ordered Pairs Answer: Example 4
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Graph on a coordinate plane.
A. B. C. D. Example 4 CYP
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Key Concept
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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
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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
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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
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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
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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
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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
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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
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