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! …

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

The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0.

The range of a function is the set of all possible outputs the function can produce. Some functions (like linear functions) can have a range of all real numbers, but lots of functions have a more …

What are rational functions? How do we plot them? What is their domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph …

A function is a mathematical rule that matches inputs to outputs. We can think of it like a machine: put a number in, the machine does some calculations, and out pops a corresponding number.

The intuition works like this: We sometimes think about functions as an input and an output. For example, we take a value, called x, and that is what we put into the function. Then the function …

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); …

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.