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Sequences, Series, Exponential and Logarithmic Functions
Sequences, Series, Exponential and Logarithmic Functions
Unit Overview
Unit Overview
In this unit you will study recursive and explicit representations of arithmetic and geometric sequences. You will also study exponential, logarithmic, and power functions and explore key features of their graphs. In addition, you will look at transformations, compositions, and inverses of functions.
Essential Questions
Essential Questions
How are recursive relationships used to model and investigate long-term behavior involving sequential change?
How are exponential, logarithmic, and power functions used to model real-world problems?
Vocabulary
Vocabulary
sigma notation
sequence of partial sum
mathematical induction
polar grid
common ratio
series
nth partial sum
infinite sequence
iteration
recursive sequence
explicit form
exponential function
interest rate
exponential growth factor
exponential decay factor
half-life
logarithm
common logarithm
strictly monotonic
parent function
even function
odd function
composition
inverse function
Getting Ready
Getting Ready
Before we jump in, let's test out those skills you already have! Try the Getting Ready practice below and then we will go over it as a class.
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