14209an3.6-8

14209an3.6-8 - c Kendra Kilmer February 3, 2009 Section 3.2...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: c Kendra Kilmer February 3, 2009 Section 3.2 - Continuity Definition: A function f is continuous at the point x = c if all of the following are true: 1. 2. 3. Note: If one or more of the conditions are not met, we say f is discontinuous at x = c. Example 1: For what values of x is the function discontinuous? Explain. 6 5 4 3 2 1 -6 -5 -4 -3 -2 -1 1 2 3 -1 -2 -3 -4 -5 -6 4 5 6 f(x) Definition: A function is continuous on the open interval (a, b) if it is continuous at each point on the interval. 6 c Kendra Kilmer February 3, 2009 Functions continuous for all real numbers: Functions continuous on their domain: Example 2: Find the intervals on which the following functions are continuous. a) f (x) = 3x9 + 4x5 - 7 b) g(x) = 23x + 4 c) h(x) = log8 (x - 3) - 2 d) k(x) = x+2 x2 - x - 12 x - 5 x + 2 e) m(x) = 2x2 x x-4 if x -3 if x > 0 if - 3 < x 0 7 c Kendra Kilmer February 3, 2009 Example 3: Find the value(s) of k, if any exist, that will make f (x) continuous everywhere. f (x) = 2x - 5 x2 + k if x 1 if x > 1 Section 3.2 Homework Problems: 3-11(odd), 15-25(odd),35,37,41,43,45,51,53,63,65,71,79 and supplemental problems 8 ...
View Full Document

This note was uploaded on 03/27/2012 for the course MATH 142 taught by Professor Drost during the Fall '08 term at Texas A&M.

Page1 / 3

14209an3.6-8 - c Kendra Kilmer February 3, 2009 Section 3.2...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online