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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