This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: if each is continuous or not at x = 1? Graph the functions and discuss the difference in the functions. Theorem (p. 124) The Intermediate Value Theorem Suppose f is continuous on the closed interval [a, b] and N is any number between f(a) and f(b), where f(a) does not equal f(b). Then there exists a number c in (a ,b) such that f(c) = N. Picture: Example  #37 p.127 Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. 3 4 =+ x x on the interval (1,2)...
View
Full Document
 Spring '07
 WEARS
 Topology, Continuity, Intermediate Value Theorem, Continuous function

Click to edit the document details