Unit 2 – Exponential and Logarithmic Functions – Pre Calculus

2.1 Change in Arithmetic and Geometric Sequences

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AP Learning Objectives:
2.1.A  Express arithmetic sequences found in mathematical and contextual scenarios as functions of the natural numbers.
2.1.B  Express geometric sequences found in mathematical and contextual scenarios as functions of the natural numbers.

 

2.2 Change in Linear and Exponential Functions

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AP Learning Objectives: 

2.3 Exponential Functions

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AP Learning Objectives: 

2.4 Exponential Function Manipulation

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AP Learning Objectives: 

2.5.A Exponential Function Context and Data Modeling

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AP Learning Objectives:
2.5.A Construct a model for situations involving proportional output values over equal-length input-value intervals.

2.5.B Exponential Function Context and Data Modeling

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AP Learning Objectives:
2.5.B Apply exponential models to answer questions about a data set or contextual scenario. 

2.6 Competing Function Model Validation

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AP Learning Objectives: 

2.7A Composition of Functions

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AP Learning Objectives: 

2.7B Composition of Functions

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AP Learning Objectives: 

2.8 Inverse Functions

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AP Learning Objectives: 

 

Unit 2A Review

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2.9 Logarithmic Expressions

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AP Learning Objectives: 
2.9.A Evaluate logarithmic expressions

2.10 Inverses of Exponential Functions

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AP Learning Objectives: 
2.10.A Construct representations of the inverse of an exponential function with an initial value of 1. 

2.11 Logarithmic Functions

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AP Learning Objectives: 
2.11.A Identify key characteristics of logarithmic functions.

2.12 Logarithmic Function Manipulation

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AP Learning Objectives: 
2.12.A Rewrite logarithmic expressions in equivalent forms.

2.13A Exponential and Logarithmic Equations and Inequalities

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AP Learning Objectives: 
​2.13.A Solve exponential and logarithmic equations and inequalities.
2.13.B Construct the inverse function for exponential and logarithmic functions.`

2.13B Exponential and Logarithmic Equations and Inequalities

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AP Learning Objectives: 
2.13.A Solve exponential and logarithmic equations and inequalities.
2.13.B Construct the inverse function for exponential and logarithmic functions.

2.14 Logarithmic Function Context and Data Modeling

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AP Learning Objectives: 
2.14.A Construct a logarithmic function model.

2.15 Semi-Log Plots

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AP Learning Objectives: 
2.15.A Determine if an exponential model is appropriate by examining a semi-log plot of a data set.
2.15.B 
Construct the linearization of exponential data.

Unit 2B Review

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