Find c for Average Value of Graph to be 0: Why c=4?
- Thread starter chukie
- Start date
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- Tags
- Average Average value Value
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Homework Help Overview
The discussion revolves around determining the value of c>0 for which the average value of a graph on the interval [-5, c] equals zero. Participants are exploring the implications of the Mean Value Theorem in this context.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- The original poster suggests that c should be 4, reasoning that the areas under the graph cancel out at this point. Other participants mention the Mean Value Theorem and its relevance to the problem, questioning its application and implications.
Discussion Status
Participants are actively engaging with the problem, with some suggesting the use of the Mean Value Theorem for integrals. There is a recognition of the need to clarify the relationship between the average value of the function and the integral over the specified interval.
Contextual Notes
There is a pending approval for the graph that is central to the discussion, which may affect the clarity of the problem setup. Some participants express uncertainty about the Mean Value Theorem and its application to this scenario.
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