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