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Section 1.3 - Continuity

Picture

Essential Question(s): 

What does it mean for a function to be continuous?


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.
Continuity at a Point
  1. What is a simple way to illustrate a  continuous function?
  2. ​What is continuity at a point?
  3. What is discontinuity and review the types of discontinuities.
Continuous Functions
  1. How does domain apply to a continuous function? 
  2. What function families are continuous?
Algebraic Combinations
  1. What can you perform with continuous functions?
Composites
  1. What happens if you compose continuous functions?
Intermediate Value Theorem for Continuous Functions
  1. What is the intermediate value theorem? (pg 83)

STEP 3: Reading
If time permits, reread the lesson and take any extra notes as needed.
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RMHS - MATHEMATICS - MS. STEVENSON - ROOM 603
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