zuai-logo

  • Home

  • Cliffs

  • Talk to ZuAi

Guest Login

zuai-logo
  3. AP Calculus AB/BC
FlashcardFlashcardStudy GuideStudy Guide
Question BankQuestion Bank

Working with the Intermediate Value Theorem (IVT Calc)

Abigail Young

Abigail Young

8 min read

Study Guide Overview

This study guide covers the Intermediate Value Theorem (IVT), focusing on its application in proving the existence of roots. It explains continuity, closed intervals, and intermediate values. The guide uses examples to demonstrate how to apply the IVT, including finding roots when function values have opposite signs. Common mistakes and exam tips are also highlighted.

Feedback stars icon

How are we doing?

Give us your feedback and let us know how we can improve

Question 1 of 10

🎉 The Intermediate Value Theorem (IVT) states that if a function is continuous on a closed interval [a,b][a, b][a,b], then which of the following must be true?

The function has a root between aaa and bbb

The function takes on every value between f(a)f(a)f(a) and f(b)f(b)f(b)

The function is differentiable on the interval [a,b][a, b][a,b]

The function is increasing on the interval [a,b][a, b][a,b]