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APPrecalculus

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Unit 1

Polynomial and Rational Functions

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Change in Tandem

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Rates of Change

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Rates of Change in Linear and Quadratic Functions

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Polynomial Functions and Rates of Change

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Polynomial Functions and Complex Zeros

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Polynomial Functions and End Behavior

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Rational Functions and End Behavior

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Rational Functions and Zeros

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Rational Functions and Vertical Asymptotes

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Rational Functions and Holes

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Equivalent Representations of Polynomial and Rational Expressions

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Transformations of Functions

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Function Model Selection and Assumption Articulation

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Function Model Construction and Application

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Unit 2

Exponential and Logarithmic Functions

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Change in Arithmetic and Geometric Sequences

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Change in Linear and Exponential Functions

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Exponential Functions

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Exponential Function Manipulation

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Exponential Function Context and Data Modeling

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Competing Function Model Validation

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Composition of Functions

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Inverse Functions

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Logarithmic Expressions

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Inverses of Exponential Functions

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Logarithmic Functions

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Logarithmic Function Manipulation

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Exponential and Logarithmic Equations and Inequalities

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Logarithmic Function Context and Data Modeling

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Semi-log Plots

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Unit 3

Trigonometric and Polar Functions

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Periodic Phenomena

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Sine, Cosine, and Tangent

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Sine and Cosine Function Values

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Sine and Cosine Function Graphs

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Sinusoidal Functions

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Sinusoidal Function Transformations

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Sinusoidal Function Context and Data Modeling

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The Tangent Function

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Inverse Trigonometric Functions

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Trigonometric Equations and Inequalities

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The Secant, Cosecant, and Cotangent Functions

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Equivalent Representations of Trigonometric Functions

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Trigonometry and Polar Coordinates

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Polar Function Graphs

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Rates of Change in Polar Functions

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