Unit 1 · Limits and Continuity

Chapter 1.8

The Intermediate Value Theorem

Prove an equation has a solution without ever solving it.

10–13 min · free · lesson 8 of 46

By the end

  1. 01State the IVT and check its hypotheses
  2. 02Use the IVT to guarantee roots and intermediate values
  3. 03Explain why continuity is the essential hypothesis

In unit 1

  1. 1.1Can Change Happen in an Instant?11–15
  2. 1.2Reading Limits from Graphs and Tables10–14
  3. 1.3Computing Limits Exactly12–16
  4. 1.4The Squeeze Theorem10–14
  5. 1.5What It Means to Be Continuous10–14
  6. 1.6Continuity on Intervals — and Repairing Breaks10–14
  7. 1.7Limits at the Edges: Asymptotes11–15
  8. 1.8The Intermediate Value Theorem10–13
RELUE© MMXXVI

AP® is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this content.