In mathematics, the exponential function is the unique real function which maps zero to one and has a derivative everywhere equal to its value.

Test your understanding of Exponential & logarithmic functions with these 38 questions.

Jul 23, 2025 · Exponential functions are mathematical functions in the form f (x) = a ⋅ bx, where: a is a constant called the coefficient, which scales the function but does not change its …

This is the general Exponential Function (see below for e x): Example: f (x) = (0.5)x. Example: f (x) = (2)x. ax is the inverse function of loga(x) (the Logarithmic Function) So the Exponential …

Nov 16, 2022 · Let’s start off this section with the definition of an exponential function. If b b is any number such that b>0 b> 0 and b ≠1 b ≠ 1 then an exponential function is a function in the …

Dec 12, 2025 · exponential function, in mathematics, a relation of the form y = ax, where a is a fixed positive real number not equal to 1 and x is a real variable (the exponent). The domain of …

In algebra, the term "exponential" usually refers to an exponential function. It may also be used to refer to a function that exhibits exponential growth or exponential decay, among other things. …

Dec 26, 2024 · Exponential growth refers to an increase based on a constant multiplicative rate of change over equal increments of time, that is, a percent increase of the original amount over …

In this article, you will learn about exponential function formulas, rules, properties, graphs, derivatives, exponential series and examples. Table of Contents: What is Exponential Function?

The exponential function is one of the most important functions in mathematics (though it would have to admit that the linear function ranks even higher in importance). To form an exponential …