How Can You Tell If A Relation Is Not A Function? | Virtual Nerd

Real math help. How Can You Tell if a Relation is Not a Function? How Can You Tell if a Relation is Not a Function?

Note:

Every function is a relation, but not every relation is a function! Watch this video to learn how to tell which relations are functions and which are not.

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Background Tutorials

• Function Definitions and Notation

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    What's a Function?

    You can't go through algebra without learning about functions. This tutorial shows you a great approach to thinking about functions! Learn the definition of a function and see the different ways functions can be represented. Take a look!

• Ordered Pairs and The Coordinate Plane

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    What is an Ordered Pair?

    Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!

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    What is the X-Coordinate?

    Ordered pairs are a crucial part of graphing, but you need to know how to identify the coordinates in an ordered pair if you're going to plot it on a coordinate plane. In this tutorial, you'll see how to identify the x-coordinate in an ordered pair!

• Relations

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    What is a Relation?

    Got a set of ordered pairs? Then you have a relation! This tutorial takes a look at relations!

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    What is Domain?

    Did you know that a relation has a domain? The domain of a relation is the set of the first coordinates from the ordered pairs. This tutorial defines the domain of a relation!

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    What is the Range of a Relation?

    Did you know that a relation has a range? The range of a relation is the set of the second coordinates from the ordered pairs. This tutorial defines the range of a relation!

Further Exploration

• Determining if Relations are Functions

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    How Do You Figure Out If a Relation is a Function?

    How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function! Watch this tutorial to see how you can determine if a relation is a function.

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    How Do You Use the Vertical Line Test to Figure Out if a Graph is a Function?

    Trying to figure out if an equation is a function? Graph it and perform the vertical line test. If it passes, then it's a function! Get some practice by watching this tutorial!

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