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Published byRudolph Chandler Modified over 8 years ago
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Today in Pre-Calculus Quiz until 11:20 When you are done, turn it in and get graphing calculator (remember to leave something if you borrow one from me) Notes: (no handout) –Define and Identify a Continuous function –Name and Identify types of discontinuity Homework
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Continuous Functions Definition: A function where the graph does not come apart at any point on its domain. It is continuous everywhere on its domain.
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Removable Discontinuity This graph is continuous everywhere except for the hole at x = 1.5 This is called a removable discontinuity because it can be patched by redefining f(1.5) so as to plug the hole.
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Removable Discontinuity This graph also has a removable discontinuity This is removable because we could define f(1.5) so as to plug the hole and make f continuous at f(1.5).
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Jump Discontinuity This discontinuity is not removable because there is more than just a hole at x = -2. It is a Jump Discontinuity because there is more than a hole, there is a jump in the function values that makes it impossible to plug with a single point.
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Infinite Discontinuity This discontinuity is not removable because there is more than just a hole at x = -1. It is a Infinite Discontinuity at x = -1 because the two sides are approaching infinity.
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Practice Continuous Discontinuous- Infinite Discontinuous- Removable Discontinuous- Jump Discontinuous Infinite
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Homework Wkst.
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