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Source: College Mathematics
, Rockswold G., Bennett J., and Briggs W.
C:/CLASES_COLEGIO/2007/NOTAS/0102/
02/04/07
Math 1332  College Mathematics
Chapter 53 Notes
Exponential Functions and Models
Today we deal with other types of nonlinear functions that are referred to as Exponential Functions
.
Exponential functions are common in real world applications, such as compound interest and
growth and decay problems.
As an example, recall the roach reproduction growth model, which
was represented as
f(x) = 2
x
,
where
x
indicated minutes.
Exponential Function
:
an exponential function
f
with base
a
and coefficient
C
is represented by
f(x) = Ca
x
,
where
a > 0
,
a
≠
1
, and
C > 0
.
•
Domain of
f
is
( 
∞
,
∞
)
and the range of
f
is
( 0,
∞
)
•
The graph of
f
is continuous (no breaks). The xaxis is a horizontal asymptote
•
The
yintercept
is
C
and there are no
xintercepts
.
•
If
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 Fall '11
 MariselaA.Martinez
 Exponential Function, Derivative, Exponential Functions, Radioactive Decay, Exponentials

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