We want to write an for the graph by identifying two points.
Let's consider the general form for this type of function.
Since we want the points to lie on the graph, they must satisfy this equation. Let's substitute
into the above formula. With this, we will have a .
Now, we will solve the system by using the . To do so, we will begin by isolating
in Equation (II). Then, we will substitute it into Equation (I). Let's do it!
Now that we found the value of
we can find the value of
in Equation (II).
Finally, we can write the equation of the exponential function.