Classify the following equations as either Growth or Decay: y=2^(-x+3)-1, y=-3(1/3)^(x+2)-4, and y=-1/4(3)^(-x+3). Please explain why.

Question

sillybilly123 · Answer

learn how to split them out!

take the middle one

$y + 4=-3(\dfrac{1}{3})^{x+2}$

you can now do something mental which is make a simple transformation: $Y = y + 4, X = x + 2$ so that: $Y(X)=-3(\dfrac{1}{3})^{X}$

And then you pump in some values.  So:

$Y(1)=-3(\dfrac{1}{3})  = -1$
 $Y(100)=-3(\dfrac{1}{3})^{100} = - \dfrac{3}{3^{100}} $
 $Y(1000000)=-3(\dfrac{1}{3})^{10000000} = - \dfrac{3}{3^{1000000}}$

sillybilly123 · Answer

pop em in yer calculator :)