Notes #23 Continuity and End Behavior October 24, 2012 Notes #23: Continuity and End Behavior 1 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) 2 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 3 Notes #23 Continuity and End Behavior October 24, 2012 4 Notes #23 Continuity and End Behavior October 24, 2012 5 Notes #23 Continuity and End Behavior October 24, 2012 6 Notes #23 Continuity and End Behavior October 24, 2012 7 Notes #23 Continuity and End Behavior October 24, 2012 8 Notes #23 Continuity and End Behavior October 24, 2012 9 Notes #23 Continuity and End Behavior October 24, 2012 10 Notes #23 Continuity and End Behavior October 24, 2012 11 Notes #23 Continuity and End Behavior October 24, 2012 12 Notes #23 Continuity and End Behavior October 24, 2012 13 Notes #23 Continuity and End Behavior October 24, 2012 14 Notes #23 Continuity and End Behavior October 24, 2012 15 Notes #23 Continuity and End Behavior October 24, 2012 16
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