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RE: [apcalculus] point of inflection question
Posted:
Sep 26, 2012 8:46 AM


NOTE: This apcalculus EDG will be closing in the next few weeks. Please sign up for the new AP Calculus Teacher Community Forum at https://apcommunity.collegeboard.org/gettingstarted and post messages there.  I disagree. A critical point, according to everything I have ever seen and read, is a point on the function at which the derivative equals zero or fails to exist.
dixie
Original Message From: Earley, Ned [mailto:Earley.Ned@lebanon.k12.oh.us] Sent: Tuesday, September 25, 2012 6:28 AM To: AP Calculus Subject: RE: [apcalculus] point of inflection question
NOTE: This apcalculus EDG will be closing in the next few weeks. Please sign up for the new AP Calculus Teacher Community Forum at https://apcommunity.collegeboard.org/gettingstarted and post messages there.  You can have a "critical point" without having a point.
Ned Earley
Original Message From: Ed Eblin [mailto:ap.calculus.ecc@gmail.com] Sent: Sunday, September 23, 2012 11:54 PM To: AP Calculus Cc: AP Calculus Subject: Re: [apcalculus] point of inflection question
NOTE: This apcalculus EDG will be closing in the next few weeks. Please sign up for the new AP Calculus Teacher Community Forum at https://apcommunity.collegeboard.org/gettingstarted and post messages there.  How can you have a POINT of inflection where no POINT exists?
Sent from my iPad.
On Sep 23, 2012, at 10:41 AM, "Brett Baltz" <brettbaltz@msdlt.k12.in.us> wrote:
> NOTE: > This apcalculus EDG will be closing in the next few weeks. Please > sign up for the new AP Calculus Teacher Community Forum at > https://apcommunity.collegeboard.org/gettingstarted > and post messages there. >  >  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! >  > To search the list archives for previous posts go to > http://lyris.collegeboard.com/read/?forum=apcalculus
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