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Topic: [ap-calculus] point of inflection question
Replies: 1   Last Post: Sep 23, 2012 12:11 PM

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Brett Baltz

Posts: 32
Registered: 1/30/11
[ap-calculus] point of inflection question
Posted: Sep 23, 2012 10:41 AM
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I find conflicting reports on this, which leads me to believe there may be conflicting opinions or varying explanations among textbooks. For that reason, I assume this question would not be addressed in this way on the exam.

Can a point of inflection be identified where the function has a vertical asymptote just because the concavity changes? For example does y=1/x have a point of inflection at x=0? My belief is that a point of inflection cannot exist at a point where the function is not defined or even not differentiable.

The debate in my head has carried over into the classroom.

Thanks!
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