Copyright

How to Use and Draw Mapping Diagrams

An error occurred trying to load this video.

Try refreshing the page, or contact customer support.

Coming up next: Graph Functions by Plotting Points

You're on a roll. Keep up the good work!

Take Quiz Watch Next Lesson
 Replay
Your next lesson will play in 10 seconds
  • 0:03 What Are Mapping Diagrams?
  • 0:55 Using Mapping Diagrams
  • 1:27 Creating a Mapping Diagram
  • 4:05 Mapping Diagrams and Graphs
  • 4:38 Lesson Summary
Save Save Save

Want to watch this again later?

Log in or sign up to add this lesson to a Custom Course.

Log in or Sign up

Timeline
Autoplay
Autoplay
Speed Speed

Recommended Lessons and Courses for You

Lesson Transcript
Instructor: Michael Quist

Michael has taught college-level mathematics and sociology; high school math, history, science, and speech/drama; and has a doctorate in education.

When you're working with functions, mapping diagrams are a great way to see and track the ways your inputs are related to your outputs. In this lesson, we will learn how to use and draw a mapping diagram.

What Are Mapping Diagrams?

Have you ever watched a waitress as she takes orders for drinks from a large table? How does she keep track of which drink goes with which customer? Of course, sometimes they don't, but sometimes it's amazing how they track every drink at the table without looking at a diagram or anything.

Imagine our poor waitress has 12 people at a large table, and she wants to keep track of all the drink orders. She could use a mapping diagram. A mapping diagram helps you to remember relationships between one set of values and another set, or how they're paired together. For example, let's see if we can give our waitress a little help:

She numbers the customers in a clockwise order, lists the drinks as they show up in the orders, and then draws arrows between the customer numbers and the drink name. She has created a mapping diagram.


Mapping diagram for the waitress
waitress example


Using Mapping Diagrams

Mapping diagrams are useful when we're working with functions. They allow us to track the relationship between the inputs (the numbers you're putting into the 'machine') and the outputs (the numbers that are coming out). We can use the diagram to show which input values are tracked to which output values. They also help us make sure a function really is a function.

For example, say we have the following set of pairs, where the first number is the input and the second number is the output.


Mapping diagram for input and output values
mapping diagram 1


Creating a Mapping Diagram

When we construct a mapping diagram from the list of input and output values, we'll draw an area for the inputs and an area for the outputs. We'll list the inputs and outputs in their own areas and then draw arrows to show which input value leads to which output value.

Notice each number from the inputs is tied to only one of the outputs. In math, that's the test for a function. Remember, a function must assign only one output value for each possible input. If any input value has more than one output, then you may have a relationship, but it's not technically a function. Let's look at one that's like that:


This is not a function!
mapping diagram 2


Can we create a mapping diagram from a function that is an equation? Absolutely! All you have to do is decide what input values you want to work with and then plug them into the equation. Your output values will be whatever you get from the equation.

To unlock this lesson you must be a Study.com Member.
Create your account

Register to view this lesson

Are you a student or a teacher?

Unlock Your Education

See for yourself why 30 million people use Study.com

Become a Study.com member and start learning now.
Become a Member  Back
What teachers are saying about Study.com
Try it risk-free for 30 days

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Create an account to start this course today
Try it risk-free for 30 days!
Create an account
Support