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Continuity
Continuous Functions have:
Discontinuous Functions are:
There are 3 types of Discontinuous Functions:
 Infinite Discontinuity (Asymptotes)
 Jump Discontinuity (Line Disconnects and then Reconnects at a different y value)
 Removable Discontinuity (Open Circle to Represent a whole in the Graph)
End Behavior
Arrow Direction
 How a function behaves at either end of the graph
 What happens to the value of f(x) as x increases or decreases without bound
Limits
Where is the graph going as it approaches something?
 We can’t always get an exact answer but we can always tell where it is going?
 For a GREAT INTRO LESSON ON LIMITS check this lesson out: https://geometrycoach.com/lessonforthefirstdayofgeometryclass/
 Limits can be mind blowing sometimes. With the activity above students will walk half way to a wall repeatedly until they reach the wall. The problem is they should never reach the wall. Welcome to Limits!
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Continuity, End Behavior, and Limits Worksheets – PDFs
13 Assignment – Continuity, End Behavior, and Limits (FREEBIE)
13 Bell Work – Continuity, End Behavior, and Limits (FREEBIE)
13 Exit Quiz – Continuity, End Behavior, and Limits (FREEBIE)
13 Guided Notes SE – Continuity, End Behavior, and Limits (FREEBIE)
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Freebie PreRequisite Resources for this Lesson:
 Properties of Real Numbers – The Importance of Differentiating Directions in Algebra
 Transforming Parabolas – The Angry Birds Project
 The Nightmare of Exploring Conic Sections
 Area Under a Curve – Is your Umbrella Big Enough?
 The Distributive Property – Cupcakes and Algebra
 How to Teach Patterns and Linear Functions
 Rate of Change and Slope – Ski Through Algebra!
 Factoring to Solve Quadratic Equations – Know Your Roots
 Hybrid Flipped Classroom Model
 Ratios and Proportions – Bad Teacher!