Notes #23 Continuity and End Behavior

Notes #23 Continuity and End Behavior
October 24, 2012
Notes #23: Continuity and End Behavior
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Notes #23 Continuity and End Behavior
October 24, 2012
Continuous Functions
A function is continuous at x=c if it satisfies the following conditions:
1. The function is defined at x=c (meaning f(c) exists)
2. The function approaches the same y­value on the left and right sides of x=c
3. The y­value that the function approaches from each side is f(c)
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Notes #23 Continuity and End Behavior
October 24, 2012
Discontinuity
A discontinuity occurs when one or more of the conditions of continuity are not met. There are several types of discontinuity, including:
Infinite Discontinuity
Jump Discontinuity
Point Discontinuity
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