What exponential function has a growth factor of one half?

An exponential function with a growth factor of one half can be expressed as ( f(x) = a \left(\frac{1}{2}\right)^x ), where ( a ) is a constant representing the initial value. This function decreases as ( x ) increases, reflecting the fact that it is a decay function rather than a growth function. For example, if ( a = 1 ), the function would be ( f(x) = \left(\frac{1}{2}\right)^x ).