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Chapter 2: Problem 118

Determine whether each statement makes sense or does not make sense, and explain your reasoning. My body temperature is a function of the time of day.

Short Answer

Expert verified
It doesn't strictly make sense to regard body temperature as a function of time of day, since body temperature varies based not only on the time of the day but also on several other factors.

Step by step solution

01

Understand the Context

In this case, the input would be the time of day and the output would be the body temperature. The question is asking if for each input (time of day), there's exactly one output (body temperature).
02

Apply Knowledge of Functions

From what is scientifically known, body temperature does vary throughout the day. However, it's not solely dependant on the time of the day, but also on other factors like activity, meals, etc. Hence, based on the definition of a function, where each input is related to exactly one output, the body temperature does not strictly meet the definition of a function of time of the day.
03

Construct Reasoning

Although there's some relation between body temperature and time of the day, it's not rigid. The same time of day can produce different body temperatures depending on a person's activity, metabolic rates, health status, and so forth. Therefore, it doesn't make complete sense to regard body temperature as a function of time of day.

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