This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ‣ Log ‣ Exponential ‣ Trigometric ‣ Noncontinuous functions ◦ Piecewise ‣ Greatest Integer ‣ If f and g are continuous at x=c, then f[g(x)] or g[f(x)] will be continuous at ◦ c. Intermediate Value Theorem for Functions ◦ Given f(x) is continuous on [a,b] and f(a) =< k=< f(b), there exists for c ‣ there exists [a,b] such that f(c) = k It says that if a function is ‣ continuous, it must hit all of the yvalues between a and b Redefine f(x) Example 1 Must hit a value between those two pointsf(x) is a continuous functionf(x) has an infinite discontinuity at x=0 F(x) is not continuous on...
View
Full
Document
This note was uploaded on 02/26/2012 for the course MATHEMATIC 101 taught by Professor None during the Spring '12 term at Aurora University.
 Spring '12
 None
 Calculus, Continuity

Click to edit the document details