Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 9. {(0, 0), ( 3, 2), (6, 4), ( 1, 1)} ANSWER:

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1 Express each relation as a table, a graph, and a mapping. Then determine the domain and range. 9. {(0, 0), ( 3, 2), (6, 4), ( 1, 1)} D = { 3, 1, 0, 6}; R = {0, 1, 2, 4} esolutions Manual - Powered by Cognero Page 1

2 10. {(5, 2), (5, 6), (3, 2), (0, 2)} D = {0, 3, 5}; R = { 2, 2, 6} esolutions Manual - Powered by Cognero Page 2

3 11. {(6, 1), (4, 3), (3, 2), ( 1, 3)} D = { 1, 3, 4, 6}; R = { 3, 1, 2} esolutions Manual - Powered by Cognero Page 3

4 12. {( 1, 3), (3, 6), ( 1, 8), ( 3, 7)} D = { 3, 1, 3}; R = { 8, 7, 6, 3} esolutions Manual - Powered by Cognero Page 4

5 13. {(6, 7), (3, 2), (8, 8), ( 6, 2), (2, 6)} D = { 6, 2, 3, 6, 8}; R = { 6, 2, 2, 7, 8} esolutions Manual - Powered by Cognero Page 5

6 14. {(4, 3), (1, 3), (7, 2), (2, 2), (1, 5)} 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. 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. I: the speed of the car; D: the length of time it takes to stop the car esolutions Manual - Powered by Cognero Page 6

7 CCSS MODELING Describe what is happening in each graph. 17. The graph represents the height of a bungee jumper. 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. 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. The baseball card increases in value more rapidly over time. esolutions Manual - Powered by Cognero Page 7

8 20. The graph represents the distance covered on an extended car ride. 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. (1, 5); The dog walker earns $5 for walking 1 dog. 22. Name the ordered pair at point B and explain what it represents. (5, 25); The dog walker earns $25 for walking 5 dogs. 23. Identify the independent and dependent variables for the relation. I: number of dogs walked; D: amount earned esolutions Manual - Powered by Cognero Page 8

9 For Exercises 24 26, use the graph below. 24. Name the ordered pair at point C and explain what it represents. (3, 2); In the year 2003, sales were about $2 million. 25. Name the ordered pair at point D and explain what it represents. (5, 6); In the year 2005, sales were about $6 million. 26. Identify the independent and dependent variables. I: year; D: sales Express each relation as a set of ordered pairs. Describe the domain and range. 27. {(1, 2.50), (2, 4.50), (5, 10.50), (8, 16.50)}; D = {1, 2, 5, 8}; R = {2.50, 4.50, 10.50, 16.50} esolutions Manual - Powered by Cognero Page 9

10 28. {( 2, 3), ( 1, 2), (0, 1), (1, 2), (2, 1)}; D = { 2, 1, 0, 1, 2}; R = {3, 2, 1, 2, 1} Express the relation in each table, mapping, or graph as a set of ordered pairs. 29. {(4, 1), (8, 9), ( 2, 6), (7, 3)} 30. {( 5, 6), ( 4, 9), (2, 1), (3, 9)} 31. {(4, 2), ( 1, 3), ( 2, 1), (1, 4)} esolutions Manual - Powered by Cognero Page 10

11 32. SPORTS In a triathlon, athletes swim 2.4 miles, bicycle 112 miles, and then run 26.2 miles. Their total time includes transition time from one activity to the next. Which graph best represents a participant in a triathlon? Explain. Graph B; the graph indicates 2 stopping periods where the athlete prepared for the next event. Draw a graph to represent each situation. 33. ANTIQUES A grandfather clock that is over 100 years old has increased in value from when it was first purchased. Sample answer: esolutions Manual - Powered by Cognero Page 11

12 34. CAR A car depreciates in value. The value decreases quickly in the first few years. 35. REAL ESTATE A house typically increases in value over time. 36. EXERCISE An athlete alternates between running and walking during a workout. esolutions Manual - Powered by Cognero Page 12