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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.

Wednesday, September 28, 2005

SCRIBE



In today's class, we had a review class about inverse function, how to find composition functions from f(x) and g(x) . And we talked about the unit circle and the function f(x)=AsinB(X-C)+D

How to find a composition function,
Example: f(x)=x^2-1, g(x)=sinx, find h(x)=((fog)(x) o (gof)(x))
(fog)(x)=(sinx)^2 -1
or =(sinx+1)(sinx-1)

(gof)(x)=sin(x^2-1)
=sinx^2-sinx

h(x)=((sin(sinx^2-sinx))^2-1

we talked about the Unit Circle, how to find x-corrdinate and y-corrdinate in four quadrants for those special radius, like pai/6, pai/4, pai/3, and their relative radius in quadrand 2, 3, or 4. see the diagram above,( Sorry, it's too dark; ).

And last we talked about the function F(x)= AsinB(X-C)+D
D means shift graph up or down D units ;
A changes the maximun or minimum points of the graph; sign of A means flip the graph of
x-axis or not;
B is effect the input of the graph, it can change the line section chief which arrives the apex.
C mean shift graph left or right C units.
And that'a all for today!




And next scribe is Steve!;)



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