Stefan works as a pizza chef. He begins his day by preheating the pizza oven. Today, the oven's interior temperature was 72°F when Stefan turned it on high-power to preheat. The temperature rose steadily at a rate of 12°F per minute until it reached its ideal temperature an hour later. Then, Stefan reduced the power so the temperature would stop rising. The function T(m) represents the oven's interior temperature, in °F, after m minutes of preheating.What is the domain of T(m)?Choices:(A)all real numbers from 0 to 72(B)all whole numbers greater than or equal to 72(C)all real numbers from 0 to 12°F0(D)all whole numbers less than or equal to12°F1
Q. Stefan works as a pizza chef. He begins his day by preheating the pizza oven. Today, the oven's interior temperature was 72°F when Stefan turned it on high-power to preheat. The temperature rose steadily at a rate of 12°F per minute until it reached its ideal temperature an hour later. Then, Stefan reduced the power so the temperature would stop rising. The function T(m) represents the oven's interior temperature, in °F, after m minutes of preheating.What is the domain of T(m)?Choices:(A)all real numbers from 0 to 72(B)all whole numbers greater than or equal to 72(C)all real numbers from 0 to 12°F0(D)all whole numbers less than or equal to 12°F1
Define Function Domain: The domain of a function is the set of all possible input values (independent variable) which, in this case, is the time in minutes, m, that the oven has been preheating. Since Stefan begins his day by turning on the oven and the temperature rises steadily for an hour, we need to consider the time from when he turned it on until it reached its ideal temperature.
Calculate Time Interval: An hour has 60 minutes. Since the temperature reaches its ideal temperature after an hour, the domain of T(m) includes all the minutes from the time Stefan turned on the oven until 60 minutes later. This means the domain is from 0 to 60 minutes.
Consider All Real Numbers: The domain includes all real numbers from 0 to 60 because the temperature can be measured at any fraction of a minute within this interval. Therefore, the domain is not limited to whole numbers or integers.
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