1.3 Continuity, End Behavior, and Limits (day 1).notebook
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1.3 Continuity, End Behavior, and Limits (day 1)
OBJECTIVES:
• Use limits to determine the continuity of a function an apply the Intermediate Value Theorem to continuous functions.
• Use limits to describe end behavior of functions
Continuous Functions
**Functions that have no breaks, no holes, no gaps.
Limits
**a limit is the concept of approaching a value without ever necessarily reaching it
1.3 Continuity, End Behavior, and Limits (day 1).notebook
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1.3 Continuity, End Behavior, and Limits (day 1).notebook
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1.3 Continuity, End Behavior, and Limits (day 1).notebook
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Discontinuous Functions:
• infinite discontinuity• jump discontinuity• removable discontinuity (point)
3 types of discontinuity
1.3 Continuity, End Behavior, and Limits (day 1).notebook
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Identifying a point of continuity:ex. 1
We need the graph from our graphing calculators!
1.3 Continuity, End Behavior, and Limits (day 1).notebook
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Identifying a point of discontinuity:ex. 1
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ex. 2
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Assignment:
pg. 30 (18) all