Domain and Range
Domain: (0, ∞)
Range: (-∞, ∞)
Graph
.gif)
Table
|
X |
Y |
|
-1 |
Undefined |
|
0 |
Undefined |
|
½ |
-.693 |
|
1 |
0 |
|
2 |
.693 |
|
3 |
1.099 |
Description
y=ln(x) is the inverse of y=e^x. This means that the inputs and outputs are the opposite for y=ln(x) as they are for y=e^x. For more information on the natural logarithm, visit the wikipedia page below.
http://en.wikipedia.org/wiki/Natural_logarithm
Characteristics
Concavity- The graph of y = ln(x) is concave down from (0, ∞).
Decreasing/Increasing- The graph of y = ln(x) is increasing from (0, ∞).
Symmetry- The graph of y = ln(x) has no symmetry.
Maximum: none
Minimum: none
Limits-
