Which Function Is It?

Modeling From Tables

Example 2

What type of function would model this table?

ModelTableEx2-1

Step 1. Is there a common first difference?

The y-values do not have a common first difference.

Step 2. Is there a common second difference?

The y-values do not have a common second difference.

Step 3. Is there a common ratio?

The y-values have a common ratio of 3.

ModelTableEx2-2

Therefore, the table can be modeled by an exponential function.