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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Tuesday, September 27, 2005

sKribe

Greetings of Peace!!! Our class started with a review of even and odd functions. Firstly, the name odd and even was associated with the exponent's value. A function is said to be odd because odd function includes only odd powers and said to be even because even function includes only even powers. The formal definition of an even function was f(-x)=f(x) and the odd function was f(-x)=-f(x). You substitute -x whether the function is odd, even or neither. What this means is that if you substitute a -x to a function, if you get the same function that you started with then it is even and if you get its' inverse then it is an odd and if you get completely different then it is neither. Graphically, it is said that an even function symmetrical with respect to the y-axis(meaning its' graph does not change after reflecting in the y axis.) and an odd function is symmetrical with respect to the origin(meaning its' graph is unchanged after 180 degree rotation about the origin).

Next is we talk about how to get inverses of function.We learned about a new concept of how to get the inverse of a function. Composing a function to its' inverse will give you x. It is the same thing with reversing the x and the y in the algebraic method. It's just different on how you look at it. Instead of using y we just used the inverse of f(x) and solve for it. Well that is it for now. Until next time.

The next scribe is...
Xun:D




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1 Comments:

  • At 10:03 PM CDT, Blogger Mr. Kuropatwa said…

    I like the upbeat tone of this post -- well done! ;-)

    You wrote (emphasis mine):

    What this means is that if you substitute a -x to a function, if you get the same function that you started with then it is even and if you get its' inverse then it is an odd...

    We wouldn't say inverse (which means to "undo" an operation) we would say negation. So the above quote should read:

    What this means is that if you substitute a -x to a function, if you get the same function that you started with then it is even and if you get its' negation then it is an odd...

    I know it seems picky but "inverse" and "negation" mean different things. ;-)

    BTW, I also like that you have a new title, so to speak. ;-)

     

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