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Rational functions

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Intro to rational expression simplificationIntro to rational expressionsIntro to simplifying rational expressionsSimplifying rational expressions: common monomial factorsSimplifying rational expressions: common binomial factorsSimplifying rational expressions: opposite common binomial factorsSimplifying rational expressions (advanced)Simplifying rational expressions: groupingSimplifying rational expressions: higher degree termsSimplifying rational expressions: two variables
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End behavior of rational functions
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End behavior of rational functionsGet 3 of 4 questions to level up!
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Discontinuities of rational functionsAnalyzing vertical asymptotes of rational functions
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Rational function points of discontinuityGet 3 of 4 questions to level up!
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Graphing rational functions according to asymptotesGraphs of rational functions: y-interceptGraphs of rational functions: horizontal asymptoteGraphs of rational functions: vertical asymptotesGraphs of rational functions: zerosGraphs of rational functions (old example)Graphing rational functions 1Graphing rational functions 2Graphing rational functions 3Graphing rational functions 4
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Graphs of rational functionsGet 3 of 4 questions to level up!
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Analyzing structure word problem: pet store (1 of 2)Analyzing structure word problem: pet store (2 of 2)Rational equations word problem: combined ratesRational equations word problem: combined rates (example 2)Rational equations word problem: eliminating solutionsReasoning about unknown variablesReasoning about unknown variables: divisibilityStructure in rational expression
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Multiplying & dividing rational expressions: monomialsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressionsDividing rational expressionsMultiplying rational expressions: multiple variablesDividing rational expressions: unknown expression
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Multiply & divide rational expressionsGet 3 of 4 questions to level up!
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Adding & subtracting rational expressions: like denominatorsIntro to adding & subtracting rational expressionsIntro to adding rational expressions with unlike denominatorsAdding rational expression: unlike denominatorsSubtracting rational expressions: unlike denominators
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Subtracting rational expressions: factored denominatorsLeast common multiple of polynomialsAdding & subtracting rational expressions (advanced)
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Subtracting rational expressions
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Add & subtract rational expressionsGet 3 of 4 questions to level up!

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.