Unit 4 - Radical Functions, Expressions, and Equations

Radical Expressions & Radical Exponents - So far, you've dealt with a lot. From adding polynomials to multiplying polynomials. From graphing the equation, to graphing its inverse. Now, we're going to take it a step further and have you deal with fractional exponents! Learn the similarities between roots and fractional exponents here!


Simplifying Radical Expressions - What happens when a radical expression becomes a little too crazy to deal with? Is there a chance that what we are seeing is a more complicated version of what we need? Find out how to simplify these expressions here!


Solving Radical Equations - So now you've realized the similarities between fractional exponents, and roots. You've simplified radical expressions so they don't look so scary, and now let's look at how to put those skills to use so we can actually sovle some of these radical equations. Learn the techniques to do that here!


Graphing Simple Rational Functions - Now let's move from radicals and roots to rational functions dealing with fractions! Find out how to look at a function and determine its vertical asymptote, and its horizontal asymptote, and what they mean!


Adding & Subtracting Rational Expressions - Let's take a look now at how we can add and subtract these expressions, without wanting to pull our hair out! Find out how we can use better procedures to make the problem seem much tamer here!


Adding & Subtracting Rational Expressions: Excluding Values - So we've gone through solving for x in our rational expression, when suddenly we find a wrong answer! Did we do something wrong? Or are there answers that seem right, that when plugged back in, are wrong? Learn about what answers you want to avoid getting, here!


Multiplying Rational Expressions - Now you know that multiplying polynomials is a task, but what about when we start dealing with rational expressions? Fractions are bad enough, but multiplying them? Learn how to properly factor out the expressions to make multiplying much easier!


Dividing Rational Expressions - So you know how to multiply rational expressions together, but how about dividing them? Can we divide fractions? Or will that just look weird? Look here to find different ways to approach the same problem!


Solving Rational Functions - You've come a long way in learning about rational functions! You've learned how to simplify them, add them, subtract them, multiply them, and divide them. Now let's take those skills, and apply them to how to solve some functions! Learn what you need to do here!