AP Calculus ABmediummcq1 pt

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

A.B) The function has a removable discontinuity at x = 2

B.A) The function is continuous for all x

C.C) The function has a jump discontinuity at x = 2

D.D) The function has an infinite discontinuity at x = 2

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

CC) The function has a jump discontinuity at x = 2

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