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AP Calculus AB 1.12 Confirming Continuity over an Interval Question Bank

Practise AP Calculus AB 1.12 questions by connecting algebraic domain restrictions with continuity across intervals.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • identify excluded x-values that split a domain into intervals of continuity

Covered syllabus points

LIM-2.B—Determine intervals over which a function is continuous

1.12 Confirming Continuity over an Interval question 1

[Maximum number: 1]

Let f be the function given by f(x)=(x−2)2(x+3)(x−2)(x+1)f(x)=\frac{(x-2)^{2}(x+3)}{(x-2)(x+1)}. For which of the following values of x is f not continuous?

A

-3 and -1 only

B

-3, -1, and 2

C

-1 only

D

-1 and 2 only

E

2 only

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