In the image below from this video lesson, the teacher shows how to get an exponential function from a pattern of data, also copied below. You can see that her solution using the formula (a)(b) to the power of x is f(x) = 4(3) to the power of x. She explains that she is multiplying 4 by 3 because the values in the y column increase by 3, but she doesn't explain why she is using
4 for the a value?
Question: for the set of data below, if the b value of (a)(b) to the power of x is 3, why is the a value 4?
x y -1 4/3 0 4 1 12 2 36 3 108