4.1/4.2 Exponential Growth/Decay Flashcards
b>0 is
growth factor
b= (growth)
1+r
r
growth/decay rate
exponential growth: b
b>1
passes through points
(0,1) and (1,b)
a line that a graph approaches more and more closely but should not be crossing
asymptote
domain and range
(-oo, oo) and
0,oo
formula
y=ab^x-h +k
k (shift)
vertical
h (shift)
horizontal
0<b></b>
decay factor
b= (decay)
1-r ; decay rate
how else can exp growth/decay be expressed
y=a(b)^x
exp decay: b
0<b></b>
A
yeild
P
principal
n
of times compounded
r
annual rate
t
time
compound interest formula
A=P(1+r/n)^nt
order of compound interest formula solving (showing work)
- formula
- substituted formula
- answer
exponential growth model
y=a(1+r)^t ;
b>1
exponential decay model
Y=a(1-r)^t ;
0<b></b>
in a model, never do what
put a # in for t
a>0 is
initial amount