AP®︎ Calculus AB: Topic 1.11 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.11 of AP Calculus AB – Defining Continuity at a Point.

Questions List

Topic 1.11

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Question 1 Easy

A function ff is continuous at x=cx=c if and only if which of the following is true?

Af(c)f(c) exists and lim⁡x→cf(x)=f(c)\lim_{x\to c} f(x)=f(c).
Bf(c)f(c) exists and lim⁡x→c−f(x)=lim⁡x→c+f(x)\lim_{x\to c^-} f(x)=\lim_{x\to c^+} f(x).
Cf(c)f(c) exists and lim⁡x→c−f(x)=f(c)\lim_{x\to c^-} f(x)=f(c).
Df(c)f(c) exists and lim⁡x→cf(x)\lim_{x\to c} f(x) exists.

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 1.11: Defining Continuity at a Point

Learning Objective: LIM-2.A

Justify conclusions about continuity at a point using the definition.

Essential Knowledge: LIM-2.A.2

A function f is continuous at x = c provided that f(c) exists, lim (x→c) f(x) exists, and lim (x→c) f(x) = f(c).

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