Building Functions

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Popular Tutorials in Building Functions

How Do You Write an Equation for a Translation of an Absolute Value Function?

Want to write an equation to translate the graph of an absolute value equation? This tutorial takes you through that process step-by-step! Take an absolute value equation and perform a vertical and horizontal translation to create a new equation. Watch it all in this tutorial.
What Does the Constant 'k' do in y = |x|+k?

When you're learning about translating absolute value equations, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation vertically.
What Does the Constant 'h' do in y = |x-h|?

When you're learning about translating absolute value equations, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate an absolute value equation horizontally.
How Do You Write a Rule for a Geometric Sequence?

Trying to find the value of a certain term in a geometric sequence? Use the formula for finding the nth term in a geometric sequence to write a rule. Then use that rule to find the value of each term you want! This tutorial takes you through it step-by-step.
What Does the Value of 'a' Do in the Exponential Function f(x)= a (bx)?

Multiplying an exponential function by a constant changes the function's graph. Watch the tutorial to find out how!
What is the Explicit Formula for the nth Term in a Geometric Sequence?

Trying to find the value of a certain term in a geometric sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in a geometric sequence! This tutorial shows you how find that formula!
How Do You Find the Common Difference in an Arithmetic Sequence?

Trying to find the common difference in an arithmetic sequence? You need to figure out what number you need to add to each term to get the next term in the sequence. It's easier than you might think! Watch this tutorial and learn how to find the common difference in an arithmetic sequence.
How Do You Find the Next Terms in an Arithmetic Sequence?

To find the next few terms in an arithmetic sequence, you first need to find the common difference, the constant amount of change between numbers in an arithmetic sequence. Once you know the common difference, you can use it to find those next terms! This tutorial takes you through that process, so be sure to check it out!
How Do You Find the Nth Term in an Arithmetic Sequence?

Got an arithmetic sequence? Trying to find a later term in that sequence? Don't want to keep adding the common difference to each term until you get to the one you want? Then use the equation for the nth term in an arithmetic sequence instead! This tutorial will show you how!
What's an Arithmetic Sequence?

See a pattern in a sequence? It might be an arithmetic sequence! Learn about arithmetic sequences by watching this tutorial.
What's the Common Difference?

Did you know that the constant you add to a term in an arithmetic sequence to get the next term has a name? It's called a common difference! This tutorial is a great way to learn more about the common difference of an arithmetic sequence.
Where Does the Formula for a Term in an Arithmetic Sequence Come From?

Trying to find the value of a certain term in an arithmetic sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in an arithmetic sequence! This tutorial shows you how find that formula!
What Does the Constant 'k' Do in the Function f(x)=[square root of](x)+k?

When you're learning about translating square root functions, learning about vertical translations is a MUST! Check out this tutorial and see what it takes to translate a square root function vertically.
How Do You Horizontally Translate a Square Root Function?

When you're learning about translating square root functions, learning about horizontal translations is a MUST! Check out this tutorial and see what it takes to translate a square root function horizontally.
How Do You Translate a Function?

Think about sliding a penny on a table. All you're doing is moving the penny to a new location on the table. That's basically all that's happening when you translate a function! When you translate a function, you're just sliding it to a new location on the coordinate plane!
How Do You Graph a Translation of a Function?

A great way to better understand how to translate a function is to practice! This tutorial takes you through the steps of graphing a function that's been translated up and to the right.
How Do You Reflect a Function?

When you look in the mirror, you see a reflection of yourself. Reflections in math involve flipping something over a line called the line of reflection. This tutorial shows you how to reflect a function over a chosen line!
How Do You Graph a Reflection of a Function?

If you change a function like f(x) to f(-x), it flips the function over the y-axis! Follow along with this tutorial to see how to take a function and reflect it over the y-axis.
How Do You Translate a Polynomial Function Vertically?

Translating functions can be fun when you know what to do. This tutorial helps you practice translating a function and writing the new function and graph!
How Do You Find the Sum of Two Functions?

Adding functions is easier than you might think! Follow along with this tutorial to learn how to add two functions together.
What are Function Operations?
How Do You Evaluate a Logarithm?

If you want to solve a logarithm, you can rewrite it in exponential form and solve it that way! Follow along with this tutorial to practice solving a logarithm by first converting it to exponential form.
How Do You Convert From Logarithmic Form to Exponential Form?

Rewriting a logarithm in exponential form can make solving easier. In this tutorial, you'll see how to take a logarithm and rewrite it in exponential form!
How Do You Convert From Exponential Form to Logarithmic Form?

Having a problem in exponential form is great, but can you change it to logarithmic form? This tutorial shows you that process step-by-step!
How Do You Simplify Logarithms Using the Product Property?

If you're adding logarithms that have the same base, you can use the Product Property of Logarithms to make that job easier! Follow along with this tutorial to see how the Product Property of Logarithms is used to add logarithms with the same base.
How Do You Convert From Exponential Form to Natural Logarithmic Form?

Converting from exponential form to natural logarithmic form is easier than you might think! Follow along with this tutorial to see how to perform this conversion.
How Do You Convert From Natural Logarithmic Form to Exponential Form?

Rewriting a natural logarithm in exponential form can make solving easier. This tutorial shows you how to take a natural logarithm and convert it to exponential form!
What Does the Constant 'k' Do to the Graph of f(x)=log(x)+k?

Translating a logarithmic function vertically can be fun, especially when you know how it's done! This tutorial shows what it takes to shift a logarithmic function up and down!
How Do You Solve a Logarithmic Equation by Exponentiating?

Equations involving logarithms don't have to be scary. Just get rid of the logarithm by exponentiating and solve like any other equation! This tutorial shows you all the steps.
What is a Logarithm?

Logarithms can be tricky, but they become a whole lot easier if you understand how they're related to exponents. Follow along with the tutorial to learn about this relationship.
What is a Natural Logarithm?

A natural logarithm is a logarithm that has a special base. In this tutorial, you'll be introduced to natural logarithms!
What is e?

In math, 'e' isn't just a letter, it's an irrational number! This tutorial shows you how mathematicians use the letter 'e' to represent a specific value and how having a base of 'e' is called a natural base.
How Do You Horizontally Translate a Trigonometric Graph?

Translating a graph of sine or cosine horizontally can be fun, but you need to understand how it works. Follow along with this tutorial to learn how to horizontally shift the sine and cosine graphs!