y=a(1+r)^t
Exponential growth function
t or x=
time
r=
rate
y=
final value
a=
initial value
A=
Final value
P=
intial value
n=
number of time periods
y= a(1-r)^x
decay exponential equation
A= P(1+rt)
simple interest formula
A= P(1+r/n)^nt
Compound interest formula
A1=_, an=r(an-1), n>=2
Recursive Geometric
a1=_, an=an-1+d, n>=2
Recursive Arithmetic
an=a1(r)^n-1
Geometric Explicit
an=a1+(n-1)d
Arithmetic Explicit
f(x)=+-ab^(x-h)+k
Exponential Transformations Equation
h>0-shifts right
stuff to remeber (x-h)
h<0 the function shifts left
(x+h)
If k>1 function shifts
up
If k<1 function shifts
down
If a is negative,
reflection over x-axis
a>1,
stretch
0<a<1
shrink
b>1
exponential growth