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PreCalculus Chapter 1 - Functions
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ColorSectionOpenStax LO #OpenStax Section TitleOpenStax Learning Outcome
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1.11.1.1Functions and Function NotationDetermining Whether a Relation Represents a Function
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1.11.1.2Functions and Function NotationFinding Input and Output Values of a Function
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1.11.1.3Functions and Function NotationDetermining Whether a Function is One-to-One
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1.11.1.4Functions and Function NotationUsing the Vertical Line Test
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1.11.1.5Functions and Function NotationUsing the Horizontal Line Test
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1.11.1.6Functions and Function NotationIdentifying Basic Toolkit Functions
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1.21.2.1Domain and RangeFinding the Domain of a Function Defined by an Equation
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1.21.2.2Domain and RangeUsing Notations to Specify Domain and Range
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1.21.2.3Domain and RangeFinding Domain and Range from Graphs
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1.21.2.4Domain and RangeFinding Domains and Ranges of the Toolkit Functions
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1.21.2.5Domain and RangeGraphing Piecewise-Defined Functions
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1.31.3.1Rates of Change and Behavior of GraphsFinding the Average Rate of Change of a Function
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1.31.3.2Rates of Change and Behavior of GraphsUsing a Graph to Determine Where a Function is Increasing, Decreasing, or Constant
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1.31.3.3Rates of Change and Behavior of GraphsAnalyze the Toolkit Functions for Increasing or Decreasing Intervals
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1.31.3.4Rates of Change and Behavior of GraphsUse A Graph to Locate the Absolute Maximum and Absolute Minimum
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1.41.4.1Composition of FunctionsCombining Functions Using Algebraic Operations
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1.41.4.2Composition of FunctionsCreate a Function by Composition of Functions
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1.41.4.3Composition of FunctionsEvaluating Composite Functions
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1.41.4.4Composition of FunctionsFinding the Domain of a Composite Function
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1.41.4.5Composition of FunctionsDecomposing a Composite Function into its Component Functions
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1.51.5.1Transformation of FunctionsGraphing Functions Using Vertical and Horizontal Shifts
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1.51.5.2Transformation of FunctionsGraphing Functions Using Reflections about the Axes
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1.51.5.3Transformation of FunctionsDetermining Even and Odd Functions
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1.51.5.4Transformation of FunctionsGraphing Functions Using Stretches and Compressions
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1.51.5.5Transformation of FunctionsPerforming a Sequence of Transformations
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1.61.6.1Absolute Value FunctionsUnderstanding Absolute Value
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1.61.6.2Absolute Value FunctionsGraphing an Absolute Value Function
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1.61.6.3Absolute Value FunctionsSolving an Absolute Value Equation
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1.61.6.4Absolute Value FunctionsSolving an Absolute Value Inequality
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1.71.7.1Inverse FunctionsVerifying That Two Functions Are Inverse Functions
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1.71.7.2Inverse FunctionsFinding Domain and Range of Inverse Functions
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1.71.7.3Inverse FunctionsFinding and Evaluating Inverse Functions
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1.71.7.4Inverse FunctionsFinding Inverse Functions and Their Graphs
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