Graphing Logarithmic Functions
Example
Graph y = log1/2x.
Solution
| Step 1 Rewrite y = log1/2x in exponential form.
Step 2 Switch x and y.
Step 3 Calculate ordered pairs. |
 |
|
x |
 |
(x, y) |
|
-4 |
 |
(-4, 16) |
|
-1 |
 |
(-1, 2) |
|
0 |
 |
(0, 1) |
|
1 |
 |
 |
|
2 |
 |
 |
|
4 |
 |
 |
Step 4 Exchange the x- and y-coordinates.
The new coordinates are (16, -4), (2, -1), (1, 0),
 ,
 , and
 .
Step 5 Graph the new ordered pairs.
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