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# Unit: Module 3: Rational and exponential functions

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### Learn

### Practice

- 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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### Practice

- 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!

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### Practice

- 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!

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### Practice

- Apply Cavalieri's principleGet 3 of 4 questions to level up!

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### Practice

- Reduce rational expressions to lowest terms: Error analysisGet 3 of 4 questions to level up!
- Reduce rational expressions to lowest termsGet 3 of 4 questions to level up!
- Simplify rational expressions (advanced)Get 3 of 4 questions to level up!

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### Learn

### Practice

- Multiply & divide rational expressions: Error analysisGet 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 240 Mastery points

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### Practice

- Add & subtract rational expressions: like denominatorsGet 3 of 4 questions to level up!
- Add & subtract rational expressions (basic)Get 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!

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### Learn

### Practice

- End behavior of rational functionsGet 3 of 4 questions to level up!
- Rational functions: zeros, asymptotes, and undefined pointsGet 3 of 4 questions to level up!
- Analyze vertical asymptotes of rational functionsGet 3 of 4 questions to level up!

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### Practice

- Graphs of rational functionsGet 3 of 4 questions to level up!
- Divide quadratics by linear expressions (with remainders)Get 3 of 4 questions to level up!

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### Practice

- 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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### Practice

- 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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### Practice

- 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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### Practice

- Relationship between exponentials & logarithmsGet 3 of 4 questions to level up!
- Exponential model word problemsGet 3 of 4 questions to level up!

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