Exponential Functions Flashcards
How can you tell if you have an exponential function?
The exponent is a variable
Exponential equation
y = ab^x+c
or
y = ab^(x-h)+k
B is the ____
Base
B>1
Growth function
0<B<1
Decay function
A>1
Vertical Stretch
0<A<1
Vertical Compression
C is the __________ _________
(Y=C)
Horizontal Asymptote
H is __________ _____ (Opposite of the sign)
Horizontal Shift
K/C is ________ _____
(True to the sign)
Vertical Shift
A line or sometimes point that is approached but never reached
Asymptote
Formula for Exponential Growth
y = a(1 + r)^t
Formula for Exponential Decay
y = a(1 - r)^t
Formula for Half-Life
A=A.(1/2)^t/h
Formula for Doubling Time
A=A.(2)^t/d
X^0
1
Exponential Functions-Base and Exponents
Bases must be the same in order for the the exponents to work
In order to find growth/decay percentage
Growth: 1-r r= Percentage
Decay: 1-r r= Percentage
Ex: (1-0.046) Percentage: 4.6%
