Precalculus
Exponential and Logarithmic Functions
Graphs of Functions
Graphs of Exponential and Logarithmic Functions
Interactive Example 1
Definition
.
The
logarithmic function with base a
,
f(x) = log
a
x
,
is the inverse of the exponential function with base
a
,
g(x) = a
x
.
Reminder.
The graph of an inverse function can be obtained by reflecting the graph of the original function in the line
y = x
.
Graph of
f(x) = log
a
x
and
g(x) = a
x
, 0 < a < 1
Graph of
f(x) = log
a
x
and
g(x) = a
x
, a > 1
a =
a =
Copyright
©
1998-2001 MathAid, LLC. All rights reserved.