Respuesta :

We want our exponential function to look like

y = ab^x.

Let a = the initial y-value.

Our initial value is the first number given for f(x). So, a = 3.

Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.

We find b by division.

So, b = the next number divided by the previous.

So, b = 6/3 = 2.

We now plug in our values into the general formula above.

y = ab^x

Answer: y = (3)(2)^x