Apentix/AP Calculus AB/Ap calc ab u1/Question
AP Calculus ABeasymcq1 pt

The primary reason why the function f(x) = 1/x is discontinuous at x = 0 is

A.B) The function is not defined at x = 0
B.C) The function is continuous for all x ≠ 0
C.A) The function approaches infinity as x approaches 0
D.D) The function has a removable discontinuity at x = 0

Explanation

Core Concept

The function f(x) = 1/x is not defined at x = 0 since division by zero is undefined. This is the primary reason why the function is discontinuous at x = 0. Options A and B are related but incorrect statements. Option C is incorrect since the function is not continuous at x = 0.

Correct Answer

B

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