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Topic: How to compose functions with "hidden behavior"
Replies: 47   Last Post: Feb 15, 1998 5:57 PM

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Chris & Sheila King

Posts: 484
Registered: 12/6/04
How to compose functions with "hidden behavior"
Posted: Feb 4, 1998 4:26 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

I have recently completed most of the topics related to first derivative
test, concavity, curve sketching....

I still need to go back and review and re-teach some of this material (I
find as I grade papers).

One thing I like to hammer home in my course, is the danger of
over-reliance on technology, and that computers/calculators are a useful
supplementary tool to analytical work, but not a replacement.

To that end, I would like to do more work with graphing functions with
"hidden behavior", where graphing them in the standard viewing windows
makes it appear that there are not so many max's or min's as there truly
are, and one would likely not choose a correct viewing window without
analytical work to give you a clue _where_ the extrema, etc., are likely
to lie.

At an AP weekend conference in Phx, AZ I believe it was Richard Jensen
who showed how to easily compose, for instance, cubic functions with
such properties. I wish I could recall the method, or find my notes.
<sigh>

Can anyone give me some tips on how to easily come up with such
functions? I would like it, if possible, to be able to do non-polynomial
functions as well.

Thanks in advance,
Sheila King



Date Subject Author
2/4/98
Read How to compose functions with "hidden behavior"
Chris & Sheila King
2/4/98
Read Re: How to compose functions with "hidden behavior"
LnMcmullin@aol.com
2/5/98
Read Re: How to compose functions with "hidden behavior"
rex@rocknet.net.au
2/6/98
Read How to compose functions with "hidden behavior"
Joshua Zucker
2/4/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman
2/5/98
Read Re: How to compose functions with "hidden behavior"
Richard Sisley
2/11/98
Read Re: How to compose functions with "hidden behavior"
Chris & Sheila King
2/5/98
Read Re: How to compose functions with "hidden behavior"
Mark Howell
2/6/98
Read Re: How to compose functions with "hidden behavior"
Geoff Hagopian
2/6/98
Read Re: How to compose functions with "hidden behavior"
Mark Howell
2/7/98
Read Re: How to compose functions with "hidden behavior"
rex@rocknet.net.au
2/8/98
Read Re: How to compose functions with "hidden behavior"
Geoff Hagopian
2/9/98
Read Re: How to compose functions with "hidden behavior"
rex@rocknet.net.au
2/9/98
Read Re: How to compose functions with "hidden behavior"
Geoff Hagopian
2/9/98
Read Re: How to compose functions with "hidden behavior"
mark snyder
2/9/98
Read Re: How to compose functions with "hidden behavior"
rex@rocknet.net.au
2/10/98
Read Re: How to compose functions with "hidden behavior"
Geoff Hagopian
2/10/98
Read Re: How to compose functions with "hidden behavior"
Rose-Marie Pelletier
2/10/98
Read Re: How to compose functions with "hidden behavior"
Richard Sisley
2/11/98
Read How to compose functions with "hidden behavior"
Joshua Zucker
2/10/98
Read Re: How to compose functions with "hidden behavior"
huffhaus@earthlink.net
2/11/98
Read Re: How to compose functions with "hidden behavior"
Geoff Hagopian
2/11/98
Read Re: How to compose functions with "hidden behavior"
Susan Hammer
2/11/98
Read Re: How to compose functions with "hidden behavior"
mark snyder
2/10/98
Read Re: Derivative of a^x
Rose-Marie Pelletier
2/10/98
Read Re: Derivative of a^x
Richard Sisley
2/10/98
Read Re: Derivative of a^x
huffhaus@earthlink.net
2/11/98
Read Derivative of a^x
Joshua Zucker
2/11/98
Read Re: Derivative of a^x
Gail Duering
2/11/98
Read Re: Derivative of a^x
Jerry Uhl
2/11/98
Read Re: Derivative of a^x
mark snyder
2/10/98
Read Re: How to compose functions with "hidden behavior"
Chris & Sheila King
2/9/98
Read Re: How to compose functions with "hidden behavior"
John Graham
2/7/98
Read Re: How to compose functions with "hidden behavior"
Jerry Uhl
2/6/98
Read Re: How to compose functions with "hidden behavior"
LnMcmullin@aol.com
2/6/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman
2/8/98
Read Re: How to compose functions with "hidden behavior"
LnMcmullin@aol.com
2/8/98
Read Re: How to compose functions with "hidden behavior"
Mark Howell
2/8/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman
2/9/98
Read Re: How to compose functions with "hidden behavior"
David Reinstein
2/10/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman
2/10/98
Read Re: How to compose functions with "hidden behavior"
himtn@ecpi.com
2/11/98
Read Re: How to compose functions with "hidden behavior"
LnMcmullin@aol.com
2/11/98
Read RE: How to compose functions with "hidden behavior"
Dave Slomer
2/12/98
Read RE: How to compose functions with "hidden behavior"
Douglas Poggioli
2/13/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman
2/14/98
Read Re: How to compose functions with "hidden behavior"
Chris & Sheila King
2/15/98
Read Re: How to compose functions with "hidden behavior"
Lou Talman

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