The exponential function f with a base a is denoted by
F(x)=a^x
where a>0,a (can not)= 1 , and x is any real number
Domain: (-infinity, infinity) Range:(0, infinity)

f(x)=a*b^(x-c) +d

d= changes vertically (up/down)

C=horizontally (left/Right), changes y intersept

A= vertical stretch or compression

B= Growth rate, larger it is-faster it grows, smaller- slower, less than 1= exponential decay

Compound interest- continually compounded
A=Pe^rt

A= Present Value
P= principal Value
E=2.718(Natural Base)
R=annual interest rate
T=time (years)

Discretely Compounded-
A=p*(1+R/N)^nt

All the same
N=# of compounding periods

a^-x= 1/a^x

a^x *a^y+ a^(x+Y)

a^x/a^y= a^(x-y)

(a^x)^y=a^(x*y)