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Topic: Algebra 2/Trig Regents
Replies: 55   Last Post: Jul 1, 2011 6:01 PM

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 Nick B Posts: 3 Registered: 6/21/11
Re: Algebra 2/Trig Regents
Posted: Jun 22, 2011 5:41 AM
 inverse relations from seq 3 book.JPG (1.7 MB) inverses from seq 3 book.JPG (1.8 MB)

I attached the page from the Sequential III Amsco book that discusses restricted domains with regard to inverse functions. You'll notice that g^-1 notation is only used when referencing the inverse function and clearly omitted when referencing the inverse relation. However, in the same book, they do use g^-1 to denote an inverse relation but specifically say relation g^-1 every time they reference it.

There is another thing to keep in mind. The notation specifically used in #32 is not just f^-1 but is f^-1(x), which is clearly function notation. A function f has an input x and only one output, namely f(x). Using notation for the argument of the function implies that we are actually supposed to be working with a function.

Also, Amsco is not the final authority on all mathematics. I would personally put much more weight in the plethora of precalculus and calculus textbooks that define f^-1 to be the inverse function of f, as you mentioned. In terms of looking forward, a question like #32 would never be so ambiguous on a better-written test such as the AP Calc exams. The AP Calc exams denote f^-1 to be an inverse function; I think we ought to be consistent with the de facto standard for higher level math being taught in high schools.

Date Subject Author
6/20/11 Jayson Kiang
6/20/11 rhoffman@wacs2.wnyric.org
6/21/11 Jessica
6/21/11 Jonathan Halabi
6/21/11 Mitchell, Doreen
6/21/11 Lin Chen
6/21/11 Steve Grey
6/21/11 Lin Chen
6/21/11 precopio@nycap.rr.com
6/21/11 Kathy
6/22/11 Glenn Mary
6/23/11 Jonathan Halabi
6/23/11 Deanna Tullison
6/24/11 ELEANOREVO@aol.com
6/24/11 Roberta M. Eisenberg
6/24/11 lvullo@ccsd-k12.org
6/24/11 Ann Murray
6/24/11 ELEANOREVO@aol.com
6/24/11 Ann Murray
6/24/11 Roberta M. Eisenberg
6/24/11 precopio@nycap.rr.com
6/29/11 Glenn Mary
6/30/11 Brent Neeley
6/30/11 Nick B
6/30/11 Evan Romer
6/30/11 SRothwell@e1b.org
7/1/11 Nick B
6/30/11 Eileen Welch
7/1/11 Eileen Lane
6/21/11 Menapace, Susan
6/21/11 Mimi Duncan
6/21/11 Jason L
6/21/11 Joe Del Giudice
6/21/11 Nick B
6/21/11 dfothergill@wvcsd.org
6/21/11 ElizWaite@aol.com
6/21/11 Jason
6/22/11 Jonathan Halabi
6/22/11 SRothwell@e1b.org
6/22/11 maryanne doyle
6/22/11 Jayson Kiang
6/22/11 Nick B
6/22/11 John
6/22/11 StGOLD2112@aol.com
6/22/11 Nick B
6/23/11 precopio@nycap.rr.com
6/23/11 TulloOLL@aol.com
6/23/11 Deanna Tullison
6/23/11 VERN TENNEY