• ### F.1. Evaluate nth Roots and Use Rational Exponents

3. #### F.1.1. Finding Real nth Roots of a (n is an integer)

1. F.1.1.O. Overview
2. F.1.1.1. Finding Real nth Roots of a (n > 1 and n is an even integer)
3. F.1.1.2. Finding Real nth Roots of a (n > 1 and n is an odd integer)
4. #### F.1.2. Evaluating Expressions with Rational Exponents

1. F.1.2.O. Overview
2. F.1.2.1. Rewriting Expressions in Rational Exponent Form Given Radical Form
3. F.1.2.2. Rewriting Expressions in Radical Form Given Rational Exponent Form
4. F.1.2.3. Evaluating Expressions With Rational Exponents Using Rational Exponent Form
5. F.1.2.4. Evaluating Expressions With Rational Exponents Using Radical Form
5. #### F.1.3. Solving Problems Involving Rational Exponents and Radical Functions

1. F.1.3.O. Overview
2. F.1.3.1. Solving Equations Using nth Roots
3. F.1.3.2. Using nth Roots to Solve Word Problems
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• ### F.2. Apply Properties of Rational Exponents

3. #### F.2.1. Applying Properties of Exponents

1. F.2.1.O. Overview
2. F.2.1.1. Simplifying Expressions With Rational Exponents Using the Properties of Exponents
3. F.2.1.2. Applying Properties of Exponents to Word Problems that Involve Rational Exponents
4. #### F.2.2. Applying Properties of Radicals

1. F.2.2.O. Overview
2. F.2.2.1. Simplifying Expressions in Radical Form Using the Product Property
3. F.2.2.2. Simplifying Expressions in Radical Form Using the Quotient Property
4. F.2.2.3. Writing Radical Expressions in Simplest Form
5. #### F.2.3. Combining Like Radicals and Roots

1. F.2.3.O. Overview
3. F.2.3.2. Adding and Subtracting Like Roots
6. #### F.2.4. Radical Expressions With Variables

1. F.2.4.O. Overview
2. F.2.4.1. Simplifying Radical Expressions With Variables
3. F.2.4.2. Writing Radical Expressions With Variables in Simplest Form
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• ### F.3. Perform Function Operations and Composition

3. #### F.3.1. Performing Operations on Functions

1. F.3.1.O. Overview
2. F.3.1.1. Adding and Subtracting Functions
3. F.3.1.2. Multiplying and Dividing Functions
4. F.3.1.3. Solving Word Problems Involving Operations on Functions
4. #### F.3.2. Performing Compositions of Functions

1. F.3.2.O. Overview
2. F.3.2.1. Evaluating Compositions of Functions Given Values
3. F.3.2.2. Finding Compositions of Functions Given Two Functions
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• ### F.4. Use Inverse Functions

3. #### F.4.1. Inverses of Linear Relations

1. F.4.1.O. Overview
2. F.4.1.1. Finding Inverses of Linear Relations Graphically
3. F.4.1.2. Finding Inverses of Linear Relations Algebraically
4. F.4.1.3. Verifying that Linear Functions are Inverses
5. F.4.1.4. Solving Word Problems Involving Inverse Linear Functions
4. #### F.4.2. Inverses of Nonlinear Functions

1. F.4.2.O. Overview
2. F.4.2.1. Finding Inverses of Nonlinear Functions Graphically
3. F.4.2.2. Finding Inverses of Nonlinear Functions Algebraically
4. F.4.2.3. Determining if Inverses are Functions Using the Horizontal Line Test
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• ### F.5. Graph Square Root and Cube Root Functions

3. #### F.5.1. Square Root Functions

1. F.5.1.O. Overview
2. F.5.1.1. Determining the Domain and Range of Square Root Functions
3. F.5.1.2. Graphing Square Root Functions Using a Table of Values
4. F.5.1.3. Translating Square Root Functions
4. #### F.5.2. Cube Root Functions

1. F.5.2.O. Overview
2. F.5.2.1. Determining the Domain and Range of Cube Root Functions
3. F.5.2.2. Graphing Cube Root Functions Using a Table of Values
4. F.5.2.3. Translating Cube Root Functions
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• ### F.6. Solving Radical and Rational Exponent Equations

2. #### F.6.Q.

1. F.6.1.O. Overview
2. F.6.1.1. Solving Radical Equations with Square Roots
3. F.6.1.2. Solving Radical Equations with Cube Roots
4. F.6.1.3. Solving Radical Equations Given a Function
5. F.6.1.4. Solving Radical Equations Given a Word Problem
4. #### F.6.2. Rational Exponent Equations

1. F.6.2.O. Overview
2. F.6.2.1. Solving Rational Exponent Equations
5. #### F.6.3. Equations with Extraneous Solutions

1. F.6.3.O. Overview
2. F.6.3.1. Solving Equations with Extraneous Solutions
6. #### F.6.4. Equations with Two Radicals

1. F.6.4.O. Overview
2. F.6.4.1. Solving Equations with Two Radicals
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