1.1 Change in Tandem
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AP Learning Objectives:
1.1.A Describe how the input and output values of a function vary together by comparing function values.
1.1.B Construct a graph representing two quantities that vary with respect to each other in a contextual scenario.
1.2 Rates of Change
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AP Learning Objectives:
1.2.A Compare the rates of change at two points using average rates of change near the points.
1.2.B Describe how two quantities vary together at different points and over different intervals of a function.
1.3 Rates of Change in Linear and Quadratic Functions
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AP Learning Objectives:
1.3.A Determine the average rates of change for linear and quadratic sequences and functions.
1.3.B Determine the change of average rates of change for linear and quadratic functions.
1.4 Polynomial Functions and Rates of Change
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AP Learning Objectives:
1.4.A Identify key characteristics of polynomial functions related to rates of change.
1.5A Polynomial Functions and Complex Zeros
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AP Learning Objectives:
1.5.A Identify key characteristics of a polynomial function related to its zeros when suitable factorizations are available or with technology.
1.5B Even and Odd Polynomials
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AP Learning Objectives:
1.5.B Determine if a polynomial is even or odd.
1.6 Polynomial Functions and End Behavior
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AP Learning Objectives:
1.6.A Describe end behaviors of polynomial functions.
Unit 1A Review
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1.7A Rational Functions and End Behavior
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AP Learning Objectives:
1.7.A Describe end behavior of rational functions.
1.7B Rational Functions and End Behavior
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AP Learning Objectives:
1.7.A Describe end behavior of rational functions.
1.8 Rational Functions and Zeros
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AP Learning Objectives:
1.8.A Determine the zeros of rational functions.
1.9 Rational Functions and Vertical Asymptotes
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AP Learning Objectives:
1.9.A Determine vertical asymptotes of graphs of rational functions.
1.10 Rational Functions and Holes
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AP Learning Objectives:
1.10.A Determine holes of graphs of rational functions.
1.11A Equivalent Expressions and Binomial Theorem
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AP Learning Objectives:
1.11.A Rewrite polynomial and rational expressions in equivalent forms
1.11.C Rewrite the repeated product of binomials using the binomial theorem.
1.11B Polynomial Long Division and Slant Asymptotes
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AP Learning Objectives:
1.11.B Determine the quotient of two polynomial functions using long division.
1.12A Translations of Functions
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AP Learning Objectives:
1.12.A Construct a function that is an additive and/or multiplicative transformation of another functions
1.12B Dilations of Functions
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AP Learning Objectives:
1.12.A Construct a function that is an additive and/or multiplicative transformation of another functions
1.13 Function Model Selection and Articulation Assumption
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AP Learning Objectives:
1.13.A Identify an appropriate function type to construct a function model for a given scenario.
1.13.B Describe assumptions and restrictions related to building a function model.
1.14 Function Model Construction and Application
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AP Learning Objectives:
1.14.A Construct a linear, quadratic, cubic, quartic, polynomial of degree n, or related piecewise-defined function
model.
1.14.B Construct a rational function model based on a context.
1.14.C Apply a function model to answer questions about a data set or contextual scenario.
Unit 1B Review
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