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### Functions

 1) Domain and Range of Graphs with Interval Notation & Set BuilderExplanation:Practice Worksheet #1Worksheet #2Khan Exercise: Domain and range from graphDesmos Activity: Domain and Range Introduction (Teacher Use)2)  Domain of Rational Functions (vertical asymptotes and removable discontinuity)3) Domain of Root and Logarithmic Functions Explanation:Notes | AnnotatedVideo:Practice:4) Domain of Rational Functions with RootsExplanation:Notes | AnnotatedKhan: Worked example: domain of algebraic functions (only the first example)Practice Problems:Worksheet | Answers5) Function FamiliesExplanation:AnnotatedOnline Flashcards - memorize the shape of function familiesKhan video: Graphs of logarithms & exponentialsKhan video: Graphing basic logarithmic functionsPractice Problems:Graphing Functions Families by Hand WSAnalyzing the Characteristics of Function Families WSDesmos Activity: Exponential and Logarithmic Functions (teacher use only)Desmos Activity: Card Match Function Families (teacher use only) 6) Special piecewise functions: absolute value & greatest integer function Explanation:Practice Problems:Worksheet7) Transformation of functions: scale factors, reflections, and shiftsExplanation:Notes  AnnotatedGraph by transformation:Khan video: Graphing shifted functionsFrom one function to another:Khan video: Shifting functionsKhan video: Compressing functionsKhan video: Reflecting & compressing functionsPractice Problems:Worksheet #1Worksheet #2Khan Exercise: Graph quadratics: vertex formKhan Exercise: Shift functions (includes some stretch and compression)Khan Exercise: Transforming functionsDesmos Activity: graph by transformations (teacher use only)8)  Transformation of Piecewise Graphs Explanation:Notes | AnnotatedPractice Problems9)  Absolute value of a FunctionExplanation: NotesPractice Problems:Worksheet #110) Review Graphing Functions by Transformations and Domain of FunctionsReview WS #111) Graphing Relations12)  Basic Operations with Functions (Add, Subtract, Multiply, and Divide)Explanation:Notes | AnnotatedKhan video: Adding functionsKhan video: Subtracting functionsKhan video: Multiplying functionsKhan video: Dividing functionsKhan video: Modeling with function combinationPractice Problems:Worksheet #1Worksheet #2Khan Article: Intro to combining functionsKhan article: Multiplying & dividing functionsKhan exercise: Model with function combination13) Composite FunctionsExplanation:Notes | AnnotatedKhan text and checking (application): Intro to composing functionsKhan text and checking (functions and numbers): Composing functionsKhan video (an example with numerical input): Evaluating composite functionsKhan video: Evaluating composite functions: using tablesKhan video: Finding composite functionsPractice ProblemsWorksheet #1Worksheet #2Worksheet #3Khan Exercise (numerical input): Evaluate composite functionsKhan Exercise: Find composite functions14) Advanced Composite Functions and Mixed Review of Operations & ModelingMixed Review Notes | Annotated Notes Khan video: Modeling with composite functionsKhan video: Modeling with composite functions (example 2)Practice Problems:Worksheet #3Khan exercise: Model with composite functions15) Finding Inverse FunctionsExplanationNotes | AnnotatedKhan video: Inputs & outputs of inverse functionsKhan video: Finding inverse functions: linearKhan video: Finding inverse functions: radicalKhan video: Finding inverse functions: rational (the answer has a mistake; it should be (-1-3x)/(x-2)Khan text and checking: Finding inverse functionsPractice problems: Worksheet #1Worksheet #3Khan exercise: Find inverse functions16)  Verifying Inverse Functions and graphsExplanation:Notes | AnnotatedKhan text and checking: Intro to inverse functionsKhan video: Graphing the inverse of a linear functionKhan video: Verifying inverse functions by compositionKhan video: Verifying inverse functions by composition: not inverseKhan text and checking: Verifying inverse functions by compositionPractice Problems:Worksheet #3Khan Exercise: Evaluate inverse functions (includes tables, equations, and graphs)Khan Exercise: Verify inverse functions16b) Determining whether a function is invertibleExplanation:Khan video: Determining if a function is invertibleKhan text and checking: Intro to invertible functionsKhan video: Restricting domains of functions to make them invertiblePractice Problems:Khan exercise: Determine if a function is invertibleKhan exercise: Restrict domains of functions to make them invertible17)  All Operations on Functions Given a GraphExplanationNotes | AnnotatedKhan Video: How to evaluate an expression that contains function notation (example)Khan video: Evaluating composite functions: using graphsPractice Problems:WorksheetKhan Exercise: Evaluating function expressionsKhan Exercise: Evaluate composite functions: graphs & tablesMathPlotter: Function Operations: graphically find the sum of two functions with the use of sliders18) Review