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AP Calculus BC 1.13 Continuity Parameters Question Bank

Solve for constants that remove discontinuities by matching function values with one-sided and two-sided limits, then verify continuity at every joining point.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

Exam points

  • connect derivative evidence to function behavior and interpretation
  • justify a calculus conclusion from symbolic, graphical or contextual evidence

Covered syllabus points

LIM-2.C—Determine values of x or solve for parameters that make discontinuous functions continuous, if possible

1.13 Removing Discontinuities question 1

[Maximum number: 1]

Consider the function f(x), defined above, where b is a constant. What is the value of b for which the function f is continuous at x=1 ?

A

-9

B

-4

C

1

D

2

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