AP®︎ Calculus BC: Topic 1.10 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.10 of AP Calculus BC – Exploring Types of Discontinuities.

Questions List

Topic 1.10

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Question 1 Easy

For a function ff, lim⁡x→3f(x)=2\lim_{x\to 3} f(x)=2 and f(3)=5f(3)=5. Which statement is true at x=3x=3?

Af(3)f(3) does not exist.
Bf(3)f(3) and lim⁡x→3f(x)\lim_{x\to 3} f(x) both exist, so ff is continuous at x=3x=3.
Clim⁡x→3f(x)\lim_{x\to 3} f(x) does not exist.
Dlim⁡x→3f(x)\lim_{x\to 3} f(x) exists, but it is not equal to f(3)f(3).

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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 1.10: Exploring Types of Discontinuities

Learning Objective: LIM-2.A

Justify conclusions about continuity at a point using the definition.

Essential Knowledge: LIM-2.A.1

Types of discontinuities include removable discontinuities, jump discontinuities, and discontinuities due to vertical asymptotes.

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