Funciones exponenciales

Funciones exponenciales are mathematical functions where the variable appears as an exponent, typically written as \( f(x) = a^x \), with \( a \) being a positive constant not equal to 1. These functions model processes that grow or decay rapidly, such as population increase, radioactive decay, or compound interest. They are characterized by their constant proportional rate of change, meaning the rate at which they increase or decrease is proportional to their current value. Exponential functions are fundamental in mathematics and science for describing phenomena involving continuous growth or decay.