What represent an exponential function?

An exponential function is a mathematical expression of the form ( f(x) = a \cdot b^x ), where ( a ) is a constant, ( b ) is the base (a positive real number), and ( x ) is the exponent. This function represents rapid growth or decay, depending on whether ( b ) is greater than or less than 1. Exponential functions are commonly used to model real-world phenomena such as population growth, radioactive decay, and compound interest. Their graphs feature a characteristic curve that rises steeply or falls sharply.