Graphs

Writing a Function

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^.b²2.) 4 = a^.b³

Step 2. Solve for "a" using the first function

FuncGraphEx2-1

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" .

FuncGraphEx2-3

Step 5. Substitute the values of "a" and "b" into the original function

y =

^. 2 ^x