Homework Help Overview
The problem involves finding a continuous function defined on the interval A = [0,1) that does not attain a maximum value. The original poster suggests functions such as g(x) = x or g(x) = e^x and is seeking guidance on how to formally demonstrate that these functions do not reach a maximum within the specified interval.
Discussion Character
- Exploratory, Conceptual clarification
Approaches and Questions Raised
- The original poster attempts to identify properties of the suggested functions that would prevent them from attaining a maximum value. Participants question what specific property would indicate that a maximum cannot be reached and suggest considering the implications of assuming a maximum exists.
Discussion Status
Participants are engaged in exploring the properties of the proposed functions and discussing the necessary reasoning to show that a maximum is not attained. Some guidance has been offered regarding the need to analyze the implications of assuming a maximum exists, but no consensus or resolution has been reached yet.
Contextual Notes
The discussion is constrained by the requirement to provide information without fully revealing solutions, emphasizing the need for formal justification of the properties of the functions in question.
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