Apentix/AP Calculus AB/Ap calc ab u1/Question
AP Calculus ABmediummcq1 pt

Which of the following is a correct statement about the function f(x) = |x - 2|?

A.D) The function has an infinite discontinuity at x = 2
B.C) The function has a jump discontinuity at x = 2
C.B) The function has a removable discontinuity at x = 2
D.A) The function is continuous for all x

Explanation

Core Concept

The function f(x) = |x - 2| has a jump discontinuity at x = 2 since the left and right limits are different. This is the primary reason why the function is discontinuous at x = 2. Options A and B are incorrect since the function is not continuous at x = 2. Option D is incorrect since the discontinuity is not infinite.

Correct Answer

C

Practice more AP Calculus AB questions with AI-powered explanations

Start Practicing on Apentix →