Relations and Functions


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Popular Tutorials in Relations and Functions

    • How Can You Tell if a Relation is Not a Function?How Can You Tell if a Relation is Not a Function?

    How Can You Tell if a Relation is Not a Function?

    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.

    • How is a Function Defined?How is a Function Defined?

    How is a Function Defined?

    You can't go through algebra without learning about functions. This tutorial shows you the definition of a function and gives you an example of a function. Take a look!

    • What Are Dependent and Independent Variables?What Are Dependent and Independent Variables?
    • How Do You Find the Domain and Range of a Relation?How Do You Find the Domain and Range of a Relation?

    How Do You Find the Domain and Range of a Relation?

    Finding the domain and range of a relation? No problem! Watch this tutorial and learn how to find the domain and range of a relation.

    • How Do You Graph a Linear Equation by Making a Table?How Do You Graph a Linear Equation by Making a Table?

    How Do You Graph a Linear Equation by Making a Table?

    Graphing a function? It would be really helpful if you had a table of values that fit your equation. You could plot those values on a coordinate plane and connect the point to make your graph. See it all in this tutorial!

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

    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.

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

    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!

    • How Do You Find f(x) If You Have a Value For x?How Do You Find f(x) If You Have a Value For x?

    How Do You Find f(x) If You Have a Value For x?

    To solve a function for a given value, plug that value into the function and simplify. See this first-hand by watching this tutorial!

    • What is a Relation?What is a Relation?

    What is a Relation?

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

    • What is the Domain of a Relation?What is the Domain of a Relation?

    What is the Domain of a Relation?

    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!

    • What is the Range of a Relation?What is the Range of a Relation?

    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!

    • What's a Function?What's a Function?

    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!

    • What's the Vertical Line Test?What's the Vertical Line Test?

    What's the Vertical Line Test?

    Even graphs need to worry about tests! Using the vertical line test, you can figure out if a graph is a function or not. Watch this tutorial and learn about the vertical line test. Then, put your graphs to the test!

    • What is Function Notation?What is Function Notation?

    What is Function Notation?

    Every see 'f(x)' in your math? That's function notation! It's a way to indicate that an equation is a function. Learn about function notation by watching this tutorial.

    • How Do You Find f(x) When the Value for x Contains Other Variables?How Do You Find f(x) When the Value for x Contains Other Variables?

    How Do You Find f(x) When the Value for x Contains Other Variables?

    When you're evaluating a function, you're usually given a number to plug in for the variable, but what if the expression you're plugging in contains other variables? See how to plug an expression with variables into a function! This tutorial will show you!

    • What is a One-to-One Function?What is a One-to-One Function?

    What is a One-to-One Function?

    What is a one-to-one function? What qualities make a function one-to-one? This tutorial is a great introduction and explanation for one-to-one functions!

    • What is a Continuous Function?What is a Continuous Function?

    What is a Continuous Function?

    You've probably seen a continuous function before and not even known it! In this tutorial, you'll learn what a continuous function is and what a graph needs to have in order to be continuous.

    • How Do You Graph a Relation From a Table?How Do You Graph a Relation From a Table?

    How Do You Graph a Relation From a Table?

    When you have a relation given as a table of x-values and y-values, it can sometimes be helpful to graph those points in order to get a visual representation of the relation. This tutorial will show you how to take values from a table and plot them on the coordinate plane!