Identify the initial amount a and the growth factor b in the exponential function. g (x) = 20 • 2x

Initial amount: 20

Growth factor: The amount doubles for every integer increase of x

Step-by-step explanation:

I think the equation should be g (x) = 20 (2^x) for it to be exponential.

The general form of an exponential equation is g (x) = a (b^x), where a is the initial amount when x = 0, and b is the base, or growth factor.

We can see the amount double by evaluating a few value ...

g (0) = 20 (2^0) = 20 (1) = 20 (initial amount)

g (1) = 20 (2^1) = 20 (2) = 40

g (2) = 20 (2^2) = 20 (4) = 80

g (3) = 20 (2^3) = 20 (8) = 160

This pattern will continue on