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For more information, please see full course syllabus of College Calculus: Level I
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Lecture Comments (2)

1 answer

Last reply by: Suzan Sluder
Sun Apr 5, 2015 8:42 PM

Post by Genae Arbogast on February 25, 2015

How did c cubed equal three?  

Continuity and the Intermediate Value Theorem

  • Look for places at which the function is not continuous: removable discontinuities, jump discontinuities, and infinite discontinuities.
  • Also look for places where the function is not even defined – these are discontinuities as well!
  • If you are using the Intermediate Value Theorem, do check that the function is continuous on the interval involved!
  • If a problem asks you to verify a conclusion of the Intermediate Value Theorem, use algebra to do so.

Continuity and the Intermediate Value Theorem

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Continuity 0:13
    • Continuous
    • Discontinuous
  • Intermediate Value Theorem 0:52
    • Example
  • Lecture Example 1 2:58
  • Lecture Example 2 9:02
  • Additional Example 3
  • Additional Example 4