An exponential function is written as F(x) a bx where the coefficient a is a constant the base b is but not equal to 1 and the exponent x is any number.?

An exponential function is expressed in the form ( F(x) = a \cdot b^x ), where ( a ) is a constant that represents the initial value, ( b ) is the base of the exponential function and must be greater than 0 but not equal to 1, and ( x ) is the exponent that can take any real number value. This function exhibits rapid growth or decay, depending on whether ( b ) is greater than or less than 1. The characteristics of the function include a constant percentage rate of change and a distinctive curve when graphed.