Graphs
Graphs
Writing a Function
Example 2
Write an exponential function for a graph that includes the points (2, 2) and (3, 4).
Step 1. Substitute the values of each point into the function 
.
1.) 2 = a.b2 2.) 4 = a.b3
Step 2. Solve for "a" using the first function
Step 3. Substitute the value of "a" from step 2 into the second function. And solve for "b".
Step 4. Substitute "b" back into the first function and solve for "a" .
Step 5. Substitute the values of "a" and "b" into the original function .
.y = 
. 2 x
. 2 x