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### Radical Functions

 11.1 Graphing inverses of power functions (honors)11.1 Determining whether or not functions are invertible (honors)11.2 Determining the equation for the inverse of a functionExplanationNotes | AnnotatedKhan video: Finding inverse functions: linearKhan video: Finding inverse functions: radicalKhan article: Finding inverse functionsPractice ProblemsKhan Exercise: Find inverse functions (includes harder rational function)Worksheet #1 | AnswerWorksheet #211.3 Graphing Square Root functions by transformationExplanationSquare Root Notes | AnnotatedKhan video: Transforming the square-root functionKhan video: Square-root functions & their graphsPractice ProblemsDesmos Activity (teacher use only): Polygraph: Square Root FunctionsSquare Root Worksheet #1 Square Root Worksheet #2 | Answers11.3 Graphing Cube Root functions by transformationExplanationNotes | AnnotatedKhan article: Radical functions & their graphsPractice ProblemsDesmos Activity (teacher use only): Polygraph: Square Root FunctionsDesmos Activity (teacher use only): Transformations of Radical FunctionsDesmos card sort: function family (group the function family name, equation, and graph)Khan exercise: Radical functions & their graphsCube Root Worksheet #1Cube Root Worksheet #2 | Answers11.3 State the domain of radical functionsExplanationNotes | AnnotatedKhan video: Domain of a radical functionPractice ProblemsKhan exercise: Determine the domain of functions (includes rational functions)Worksheet #1 | AnswersWorksheet #2 | Answers11.4 Review: Operations of Powers with Integer ExponentsExplanation:Notes | AnnotatedKhan video: Exponent properties with products (whole number exponents)Khan video: Exponent properties with parentheses (whole number exponents)Khan video: Exponent properties with quotients (whole number exponents)Khan article: Exponent properties review (whole number exponents)Khan video: Thinking more about negative exponentsKhan video: More negative exponent intuitionPractice Problems:Worksheet #1 | AnswersWorksheet #2Khan Exercise: Multiply powers (whole number exponents)Khan Exercise: Powers of powers (whole number exponents)Khan Exercise: Divide powers (whole number exponents)Khan Exercise: Powers of products & quotients (whole number exponents)Khan Exercise: Powers of products & quotients (structured practice) (whole number exponents)Khan Exercise: Negative exponentsKhan Exercise: Multiply & divide powers (integer exponents)Khan Exercise: Powers of products & quotients (integer exponents)11.4 Simplify Powers with Rational ExponentsExplanation:Notes | Annotated Khan video: Introduction to rational exponentsKhan video: Rewriting roots as rational exponentsKhan video: Radicals and exponents (ignore the last problem)Khan video: Evaluating rational exponents: negative unit-fractionKhan video: Evaluating rational exponentsKhan video: Evaluating rational exponents: rational basePractice Problems:11.5 Operations of Powers with Rational ExponentsExplanation:Practice ProblemsWorksheet #1Worksheet #2Khan Exercise: Properties of exponents (rational exponents)Khan Exercise: Multi-step simplification of rational exponent expressions (Challenge)Khan Exercise: Equivalent forms of exponential expressions (Challenge)11.4 Extracting RootsExplanation:Notes | AnnotatedKhan video: Simplifying square roots (variables)Khan article: Simplifying square roots reviewKhan video: Simplifying higher-index rootsKhan video: Simplifying cube root expressions (two variables)Khan video: Simplifying higher-index root expressionsPractice Problems:Khan Exercise: Simplify square-roots (variables)Worksheet #1Worksheet #211.5 Operations with radicalsExplanation:Notes | AnnotatedKhan video: Simplifying square-root expressionsKhan video: Simplifying cube root expressionsPractice Problems:Khan exercise: Simplify square-root expressionsWorksheet #1Worksheet #211.6 Solving radical equations & problem solving with radical equationsExplanation:Notes | AnnotatedKhan video: Solving square-root equations: one solutionKhan video: Solving square-root equations (basic)Khan article: Intro to solving square-root equations (include one example of an extraneous solution)Khan video: Intro to square-root equations & extraneous solutionsKhan video: Solving square-root equations: two solutionsKhan video: Solving square-root equations: no solutionKhan video: Extraneous solutions of radical equationsKhan article: Extraneous solutions of radical equationsKhan video: Solving cube-root equationsPractice ProblemsKhan exercise: Solve square-root equations (basic) (these problems include extraneous solutions)Khan exercise: Solve square-root equationsWorksheet #1 | AnswersWorksheet #2Review Practice Problems:Cumulative ReviewWorksheet #4