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# Module 3: Rational and exponential functions

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Factor polynomials: complex numbersGet 3 of 4 questions to level up!

Zeros of polynomials (with factoring)Get 3 of 4 questions to level up!

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Expand binomialsGet 3 of 4 questions to level up!

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Graph & features of ellipsesGet 3 of 4 questions to level up!

Center & radii of ellipses from equationGet 3 of 4 questions to level up!

Ellipse standard equation & graphGet 3 of 4 questions to level up!

Foci of an ellipse from radiiGet 3 of 4 questions to level up!

Foci of an ellipse from equationGet 3 of 4 questions to level up!

Equation of an ellipse from featuresGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 600 Mastery points

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Vertices & direction of a hyperbolaGet 3 of 4 questions to level up!

Foci of a hyperbola from equationGet 3 of 4 questions to level up!

Equation of a hyperbola from featuresGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 300 Mastery points

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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!

Level up on the above skills and collect up to 300 Mastery points

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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!

Level up on the above skills and collect up to 300 Mastery points

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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!

Least common multipleGet 3 of 4 questions to level up!

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

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

Nested fractionsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 600 Mastery points

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

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!

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

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Evaluate composite functionsGet 3 of 4 questions to level up!

Evaluate composite functions: graphs & tablesGet 3 of 4 questions to level up!

Find composite functionsGet 3 of 4 questions to level up!

Model with composite functionsGet 3 of 4 questions to level up!

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Evaluate inverse functionsGet 3 of 4 questions to level up!

Finding inverses of linear functionsGet 3 of 4 questions to level up!

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Verify inverse functionsGet 3 of 4 questions to level up!

Determine if a function is invertibleGet 3 of 4 questions to level up!

Restrict domains of functions to make them invertibleGet 3 of 4 questions to level up!

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Relationship between exponentials & logarithmsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 400 Mastery points

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Level up on all the skills in this unit and collect up to 3900 Mastery points!