Exponentials
Modeling Points
When given two or more points of an exponential graph, try one of the following methods:
- If the y-intercept is one of the points, the model can be found exactly like the previous example.
- If the y-intercept is not given, put the points into a table and find the common ratio.
Example Find the exponential function that models the points (2, 6) and (4, 54)
Step 1. Put the points into a table.
| x |
y |
| 0 |
|
| 1 |
|
| 2 |
6 |
| 3 |
|
| 4 |
54 |
Step 2. Find the common multiplier between the y-values.
6 . __ = 54
6 . 9 = 54