AP®︎ Calculus AB: Topic 1.16 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.16 of AP Calculus AB – Working with the Intermediate Value Theorem (IVT).

Questions List

Topic 1.16

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12

Question 1 Easy

Which of the following is a statement of the Intermediate Value Theorem (IVT)?

AIf ff is continuous on [a,b][a,b] and dd is strictly between aa and bb, then there is at least one number cc with a<c<ba<c<b such that f(c)=df(c)=d.
BIf ff is defined on [a,b][a,b] and dd is strictly between f(a)f(a) and f(b)f(b), then there is at least one number cc with a<c<ba<c<b such that f(c)=df(c)=d.
CIf ff is continuous on [a,b][a,b] and dd is strictly between f(a)f(a) and f(b)f(b), then there is at least one number cc with a<c<ba<c<b such that f(c)=df(c)=d.
DIf ff is continuous on [a,b][a,b] and dd is strictly between f(a)f(a) and f(b)f(b), then there is exactly one number cc with a<c<ba<c<b such that f(c)=df(c)=d.

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.

Topic 1.16: Working with the Intermediate Value Theorem (IVT)

Learning Objective: FUN-1.A

Explain the behavior of a function on an interval using the Intermediate Value Theorem.

Essential Knowledge: FUN-1.A.1

If f is a continuous function on the closed interval [a, b] and d is a number between f(a) and f(b), then the Intermediate Value Theorem guarantees that there is at least one number c between a and b, such that f(c) = d.

Also applying to college?Free college essay reviewGet your college essay graded