- #1
sparkle123
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Why is f(x)=(x-3)^2/(x-6) not concave up for x>6?
It looks like it is from the graph.
It looks like it is from the graph.
F(x)=(x-3)^2/(x-6) is concave up for x>6?
- Thread starter sparkle123
- Start date
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- Tags
- Concave
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Homework Help Overview
The discussion revolves around the function f(x) = (x-3)²/(x-6) and its concavity for x > 6. Participants are examining whether the function is indeed concave up in that interval based on graphical observations and multiple-choice questions.
Discussion Character
- Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants are questioning the concavity of the function for x > 6, with some asserting it is concave up based on graphical evidence, while others express skepticism regarding this conclusion.
Discussion Status
The discussion is active, with differing opinions on the concavity of the function. Some participants are exploring the validity of answers provided in textbooks, suggesting that errors may exist in published solutions.
Contextual Notes
There is mention of a multiple-choice question that may have incorrect options, prompting participants to reconsider their understanding of the function's behavior.