Identify the initial amount a and the growth factor b in the exponential function gx = 14 * 2^x

In the given exponential function g(x) = 14 * 2^x, we can identify the components of the equation that correspond to the initial amount and the growth factor.

The general form of an exponential function can be written as:

g(x) = a * b^x

Where:

• a is the initial amount, which represents the value of the function when x = 0.
• b is the growth factor, indicating how much the function multiplies as x increases by 1.

In our function:

• The initial amount a is 14. This is because when we substitute x = 0 into the equation, the function simplifies to:
• g(0) = 14 * 2⁰ = 14 * 1 = 14.
• The growth factor b is 2, as this is the base of the exponent.

Therefore, in the exponential function g(x) = 14 * 2^x, the initial amount a is 14 and the growth factor b is 2.