Question

5. This graph shows the outside temperature (in degrees Celsius) over the course of 12 hours, starting at midnight (x = 0). 2 Temperature (in degrees Celsius) Time in hours)

Part 1:
a. what is the domain?
b. what does the domain mean in terms of the problem

Part 2:
a. what is the range
b. what does the range mean in terms of the problem

Part 3:
a. when is the fuction decreasing?
b. what does the decreasing interval mean in terms of the problem?


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Answer 1

PART 1

a. The domain of the graph is the set of all possible input values, which in this case is time in hours. From the graph, we can see that the time range is from 0 to 12 hours.

b. In terms of the problem, the domain represents the time period over which the outside temperature was recorded. It tells us that the temperature was measured over a 12-hour period, starting at midnight (x=0) and ending at noon (x=12).

PART 2

a. The range of the temperature in degrees Celsius can be determined by finding the difference between the maximum and minimum values on the y-axis. From the graph, it appears that the highest temperature is around 20°C while the lowest temperature is around 5°C. Therefore, the range of temperatures is 15°C.

b. The range in this context means that there is a variation of 15°C in the outside temperature over the course of 12 hours. This could indicate that there are fluctuations in weather patterns or that there are different times of day where temperatures are typically higher or lower.

PART 3

a. The function is decreasing between 4 AM and 8 AM.

b. The decreasing interval means that the temperature is decreasing during that time period. In other words, the outside temperature is getting colder between 4 AM and 8 AM. This could be due to a variety of factors such as the time of day, weather patterns, or location.

Tell me if this is correct.