Graphs
Graphs
Writing a Function
Example 3
Write an exponential function 
 for a graph that includes (2, 4) and (3, 16). 
Step 1. Since the two points have an x-increment of 1, the ratio between their y-values is the common ratio. Use this to find the value of b.

Step 2. Substitute either point into 
, solve for "a." 
Using (2,4) ![]()
Using (3,16) ![]()
Step 3. Substitute "a" and "b" into the original function 
.