Answer:
- Kiran's initial heart rate was 70 bpm.
- During the first 5 minutes of exercise, his heart rate increased at a rate of 2 bpm, reaching 80 bpm after 5 minutes of exercise.
- Over the next 5 minutes, his heart rate increased at the faster rate of 8 bpm, reaching 120 bpm after 10 minutes of exercise.
- His heart rate then remained constant at 120 bpm during the next 30 minutes of exercise.
- Finally, his heart rate decreased at a rate of 3 bpm for the final 10 minutes of exercise, reaching 90 bpm at the end of his workout (after 50 minutes of exercise).
Explanation:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. From observation of the graph, the x-values of the endpoints are x = 0 and x = 50. Therefore, the domain of the graph is [0, 50]. This means that the duration of Kiran's workout was 50 minutes.
The range of a function is the set of all possible output values (y-values) for which the function is defined. From observation of the graph, the minimum y-value is y = 70 and the maximum y-value if y = 120. Therefore, the range of the graph is [70, 120]. This means that the range of Kiran's heart rate during his workout was between 70 bpm and 120 bpm.
The graph shows:
- Kiran's initial heart rate was 70 bpm.
- During the first 5 minutes of exercise, his heart rate increased at a rate of 2 bpm, reaching 80 bpm after 5 minutes of exercise.
- Over the next 5 minutes, his heart rate increased at the faster rate of 8 bpm, reaching 120 bpm after 10 minutes of exercise.
- His heart rate then remained constant at 120 bpm during the next 30 minutes of exercise.
- Finally, his heart rate decreased at a rate of 3 bpm for the final 10 minutes of exercise, reaching 90 bpm at the end of his workout (after 50 minutes of exercise).
Note: The rate that Kiran's heart rate increased/decreased is the slope of the line, and can be calculated by dividing the change in bpm by the change in time.