Functions are defined within the real number system as this is what is used the majority of the time. We graph functions within the coordinate plane. Each number line in the coordinate plane represents the …

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

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)

Learn how to find removable discontinuities, horizontal asymptotes, and vertical asymptotes of rational functions. This video explores the specific example f (x)= (3x^2-18x-81)/ (6x^2-54) before …

Learn how you can find the range of any quadratic function from its vertex form. In this article, we will learn how to find the range of quadratic functions. In other words, we will learn how to determine the …

Equations and functions are not the same thing, but they can be related in several ways. In this video, we obtain a function from an equation. The function represents the same relationship between the …

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 …

Use the vertical line test to determine if the graph is a function. If you can draw a vertical line anywhere in the coordinate plane and the line only crosses the graph once, then the graph is a function.

We've seen linear and exponential functions, and now we're ready for quadratic functions. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems.

Finding the domain and the range of a function that is given graphically. Created by Sal Khan.