Unformatted text preview: continuous on an interval if it is continuous at every number in the interval. (If f(x) is defined only on one side of an endpoint of the interval, we understand continuous at the endpoint to mean continuous from the right or continuous from the left.) Theorem: The following types of functions are continuous at every number in their domains: polynomials, rationals, roots, trigonometric, inverse trigonometric, exponential, logarithmic. The Intermediate Value Theorem: Let f(x) be continuous on the closed, bounded interval [a, b] , and let N be any number between f(a) and f(b), where f(a) ≠ f(b). Then, there exists a number c between a and b , such that f(c) = N . Try Exercises 4, 10, 18, 22, 24, 32, 36, 50 on pages 128129 in the textbook....
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 Spring '11
 Teague
 Calculus, Topology, Continuity, Intermediate Value Theorem, Continuous function

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