**This unit contains the following topics:**

**This unit contains the following topics:**

• Simplifying Radicals (square, cube, and 4th roots)

• Rational Exponents (converting between exponential and radical forms)

• Simplifying Expressions with Rational Exponents

• Simplifying Radicals with Variables

• Adding and Subtracting Radicals (includes higher roots)

• Multiplying Radicals (includes higher roots)

• Dividing Radicals (includes higher roots)

• Rationalizing the Denominator (monomial and binomial divisors)

• Solving Radical Equations (includes higher roots); Extraneous Solutions

• Graphing Radical Functions: Square and Cube Root Functions

• Transformations of Radical Functions

• Identifying Key Characteristics: domain, range, endpoint/turning point, end behavior, increasing/decreasing intervals

• Inverse Relations; One-to-One Functions

• Writing Inverse Functions

• Verifying Inverse Functions Graphically (as a reflection across y = x)

• Verifying Inverse Functions Algebraically (through compositions of functions)

**This unit does not contain activities.**

This is the guided notes, homework assignments, quizzes, study guide, and unit test only. For suggested activities to go with this unit, check out the **ATA Activity Alignment Guides**.

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