What is an exponential function?

An exponential function is a mathematical function that involves a constant base raised to a variable exponent. The base is typically a positive number greater than 1, although it can be any positive value including 1, while the exponent is usually a variable. The primary characteristic of an exponential function is that it grows or decays rapidly over time. This rapid growth or decay is due to the fact that as the exponent increases, the function's value increases (in case of a positive base) exponentially. Exponential functions have a wide range of applications in various fields such as finance, biology, physics, and computer science. They are commonly used to model phenomena such as population growth, compound interest, radioactivity decay, and the spread of diseases.

This mind map was published on 19 November 2023 and has been viewed 101 times.