One to one and onto functions
In this lesson, you will learn about the difference between onto and one-to-one functions. A function is a relation where each element in the domain pairs with one element in the range. A one-to-one function is where every element in the domain has a unique pairing with an element in the range. An onto function is where every element in the range is paired with an element in the domain. Through various examples and non-examples, this lesson will help you understand the concepts of onto and one-to-one functions.
How to tell the difference between onto and one to one functions
I show how to solve math problems online during live instruction in class. This is my way of providing free tutoring for the students in my class and for students anywhere in the world. Every video is a short clip that shows exactly how to solve math problems step by step. The problems are done in real time and in front of a regular classroom. These videos are intended to help you learn how to solve math problems, review how to solve a math problems, study for a test, or finish your homework. I post all of my videos on YouTube, but if you are looking for other ways to interact with me and my videos you can follow me on the following pages through My Blog, Twitter, or Facebook.
- What is a function?
- What is the difference between a relation and a function?
- What are the domain and range of a function?
- What does it mean for a function to be one-to-one?
- What does it mean for a function to be onto?
- What are some examples of one-to-one and onto functions?
- What is the definition of a function?
- What is the definition of domain and range of a function?
- What is an example of a relation that is not a function?
- What is an example of a function that is one-to-one?
- What is an example of a function that is not one-to-one?
- What is an example of a function that is onto?
- What is an example of a function that is not onto?
-
Staff Review
This lesson explains the concept of functions, relations, domain, range, one-to-one, and onto. The concepts are explained using diagrams and example relations. Examples and non-examples of each type of relation / function are shown and explained. This is a great video for learning about the concept of what these terms mean.
