If a real function f is monotonic in an interval I, it has an inverse function, which is a real function with domain f(I) and image I. This is how inverse trigonometric functions are defined in terms of …

Here you will learn about functions in algebra, including what functions are, how to calculate with function machines and exponential functions. Students will first learn what is a function as part of …

About this unit A function is like a machine that takes an input and gives an output. Let's explore how we can graph, analyze, and create different types of functions. Unit guides are here! Power up your …

Jan 13, 2026 · By definition x is a logarithm, and there is thus a logarithmic function that is the inverse of the exponential function. Specifically, if y = ex, then x = ln y.

What is a Function? A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

May 9, 2022 · If the function is defined for only a few input values, then the graph of the function is only a few points, where the x-coordinate of each point is an input value and the y-coordinate of each …

The simplest definition is: a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all …

A function that repeats infinitely for a given fixed distance along the \ ( x \)-axis is said to be a periodic function, with the fixed distance called the period.

Functions define the relationship between two variables, one is dependent and the other is independent. Function in math is a relation f from a set A (the domain of the function) to another set B (the co …

On the left is a one-to-one function, also known as an injective function. No X element is mapped to the same Y element. In contrast, the function on the right is a function that is not one-to-one, since two of …