Functions assign a single output for each of their inputs. In this video, we see examples of various kinds of functions.

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! …

When you write f(x), it tells us that there's a function called f whose output value comes from input called x. Functions are evaluated at certain input values by replacing it with a number; for …

f (x) just means "a function in terms of x" and it is the same as y, except f (x) is a function and must have only 1 y-value for each assigned x-values (in other words it must pass the "line test").

Many functions are equations. But, they don't have to be. If you have a set of ordered pairs where each x-value relates to only one y-value, then you have a function. For example: { (2,5); (3,8); …

Inputs and outputs of a function Learn Worked example: matching an input to a function's output (equation)

The definition of a function is that each input creates only one output value. For a function to have an inverse, the relationship must be that there is a 1-to-1 relationship between its input values …

Walk through examples, explanations, and practice problems to learn how to find and evaluate composite functions.

Through a worked example involving f (x)=√ (x²-1) and g (x)=x/ (1+x), learn about function composition: the process of combining two functions to create a new function.

What's the difference between exponential growth and exponential decay? While both involve exponential functions, exponential growth refers to when the quantity is increasing over time, …