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Section 3.3 - Logarithmic Functions & their Graphs

Picture

Essential Question(s): 

What are the characteristics of logarithmic functions?


Follow these three steps to complete this "flip" lesson.
STEP 1: Preparation 
Title your spiral with the heading above and copy the essential question(s).
STEP 2: Vocabulary & Examples 
Copy and define the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed. Review the following examples and copy what is necessary for you. Use the guiding questions for your cornell notes.
Inverses of Exponential FunctionsReview how to change between logarithmic and exponential (pg 300)
  • What are the basic properties of logarithms? (pg 301)
  • How do you evaluate logarithmic and exponential expressions? (Ex 1 & 2 pg 300-301)
Common Logarithms - Base 10
  • What are common logarithms? (pg 302)
  • What are the basic properties of common logarithms? (pg 302)
  • How do you evaluate log and exponential expressions base 10? (Ex 3 pg 303)
  • How do you solve simple logarithmic equations? (Ex 5 pg 303)
Natural Logarithms - Base e
  • Review what natural logarithms are. (pg 303)
  • What are the basic properties of natural logarithms? (pg 304)
  • How do you evaluate log and exponential expressions base e? (Ex 6 pg 304)
Graphs of Logarithmic Functions
  • Review the basic natural logarithmic function. (pg 305)
  • How can you transform logarithmic graphs? (Ex 8 pg 306)
Measuring Sound Using Decibels
  • What are decibels? (Pg 307)
  • How are decibels used with logarithms? (Ch opener pg 307)
STEP 3: Reading
Read the following page(s) and take any extra notes as needed.
  • Read pages 300 - 307.
  • Make sure to read the paragraphs between the examples.
Overview of Logarithmic Function
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RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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