1-6 Relations
Express each relation as a table, a graph, and a mapping. Then determine the domain and range.
13. {(6, 7), (3, –2), (8, 8), (–6, 2), (2, –6)}
ANSWER: D = {–6, 2, 3, 6, 8}; R = {–6, –2, 2, 7, 8}
14. {(4, –3), (1, 3), (7, –2), (2, –2), (1, 5)}
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1-6 Relations
D = {–6, 2, 3, 6, 8}; R = {–6, –2, 2, 7, 8}
14. {(4, –3), (1, 3), (7, –2), (2, –2), (1, 5)}
ANSWER: D = {1, 2, 4, 7}; R = {–3, –2, 3, 5}
Identify the independent and dependent variables for each relation.
15. The Spanish classes are having a fiesta lunch. Each student that attends is to bring a Spanish side dish or dessert.
The more students that attend, the more food there will be.
ANSWER: I: the number of students who attend the fiesta; D: the amount of food that there will be at the fiesta
16. The faster you drive your car, the longer it will take to come to a complete stop.
ANSWER: I: the speed of the car; D: the length of time it takes to stop the car
CCSS MODELING Describe what is happening in each graph.
17. The graph represents the height of a bungee jumper.
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16. The faster you drive your car, the longer it will take to come to a complete stop.
ANSWER: 1-6 Relations
I: the speed of the car; D: the length of time it takes to stop the car
CCSS MODELING Describe what is happening in each graph.
17. The graph represents the height of a bungee jumper.
ANSWER: The bungee jumper starts at the maximum height then jumps. After the initial jump, the jumper bounces up and down
until coming to a rest.
18. The graph represents the sales of lawn mowers.
ANSWER: The positive slope of the first section of the graph indicates that lawn mower sales are increasing as time goes on.
The next section of the graph is horizontal (zero slope) because sales are steady for that period of time. The next section of the graph has a steep positive slope showing that the rate of mower sales is quickly increasing.
Then, the graph becomes horizontal as sales are high and steady. Finally, sales begin to quickly drop off as the graph
takes on a negative slope. The last section of the graph shows that sales continue to decrease, but at a slower rate. Sales continue to diminish
until sales stop altogether at the end of the graph.
CCSS MODELING Describe what is happening in each graph.
19. The graph represents the value of a rare baseball card.
ANSWER: The baseball card increases in value more rapidly over time.
20. The graph represents the distance covered on an extended car ride.
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ANSWER: 1-6 Relations
The baseball card increases in value more rapidly over time.
20. The graph represents the distance covered on an extended car ride.
ANSWER: The graph shows the car moving, and then stopping, and then moving at a faster pace. The car stops a second time
and then continues moving.
For Exercises 21–23, use the graph below.
21. Name the ordered pair at point A and explain what it represents.
ANSWER: (1, 5); The dog walker earns $5 for walking 1 dog.
22. Name the ordered pair at point B and explain what it represents.
ANSWER: (5, 25); The dog walker earns $25 for walking 5 dogs.
23. Identify the independent and dependent variables for the relation.
ANSWER: I: number of dogs walked; D: amount earned
For Exercises 24–26, use the graph below.
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(5, 25); The dog walker earns $25 for walking 5 dogs.
23. Identify the independent and dependent variables for the relation.
ANSWER: 1-6 Relations
I: number of dogs walked; D: amount earned
For Exercises 24–26, use the graph below.
24. Name the ordered pair at point C and explain what it represents.
ANSWER: (3, 2); In the year 2003, sales were about $2 million.
25. Name the ordered pair at point D and explain what it represents.
ANSWER: (5, 6); In the year 2005, sales were about $6 million.
26. Identify the independent and dependent variables.
ANSWER: I: year; D: sales
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