About this unit, first i got some troubles with the "+" and "-" sign in the sine and cosine functions but now I'm ok with that.

Two Functions : f(x) = AsinB(x-C)+D

g(x)= AcosB(x-C)+D

We could use these 2 functions to solve some problems and that's really "cool".

In those 2 functions, you must remember ( i saw everyone all noticed about this but i still repeat it) :

A : the amplitude: the distance of the max or min values from the Sinusoidal Axis.

B : determines the periods ( B is NOT the Period)

Period= or B=

C : determines the horizontal shifts

C > 0 : the graph shifted to the right

C <>

Warning: Watch the sign of C

D : determines the vertical shifts

D > 0 : the graph shifted up

D <>

And there are something about even and odd function

Remember that a function is even if its graph is symmetrical about the y-axis

f(-x) = f(x)

And a function is odd when its graph is symmetrical about the origin.

-f(x) = f(-x)

The reflection function of y = f(x) is y = f

^{ -1}(x) (inverse function)

Warning: f

^{ -1}(x)

I think it's enough for me. Just reminder again: pre-test tomorrow, friday 13 and test is on monday 16.

Good luck to you guys

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