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Unit: Rational functions

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Cancelling common factors

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Simplify rational expressions: common monomial factorsGet 3 of 4 questions to level up!
Simplify rational expressions: common binomial factorsGet 3 of 4 questions to level up!
Simplify rational expressions (advanced)Get 3 of 4 questions to level up!

Quiz 1

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End behavior of rational functions

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End behavior of rational functions
(Opens a modal)

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End behavior of rational functionsGet 3 of 4 questions to level up!

Discontinuities of rational functions

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Rational function points of discontinuityGet 3 of 4 questions to level up!
Analyze vertical asymptotes of rational functionsGet 3 of 4 questions to level up!

Graphs of rational functions

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Graphs of rational functionsGet 3 of 4 questions to level up!

Modeling with rational functions

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Quiz 2

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Multiplying and dividing rational expressions

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Multiply & divide rational expressions (basic)Get 3 of 4 questions to level up!
Multiply & divide rational expressionsGet 3 of 4 questions to level up!
Multiply & divide rational expressions (advanced)Get 3 of 4 questions to level up!

Adding and subtracting rational expressions intro

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Add & subtract rational expressions: like denominatorsGet 3 of 4 questions to level up!
Add & subtract rational expressions: unlike denominatorsGet 3 of 4 questions to level up!

Adding and subtracting rational expressions (factored)

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Practice

Add & subtract rational expressions: factored denominatorsGet 3 of 4 questions to level up!

Adding and subtracting rational expressions (not factored)

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Subtracting rational expressions
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Add & subtract rational expressionsGet 3 of 4 questions to level up!

Quiz 3

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Unit test

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About this unit

Just as the polynomials are analogous to the integers, rational functions are analogous to the rational numbers. We will learn more about this analogy as we rewrite various rational expressions, and also think about their graphical behavior.