AP®︎ Calculus AB: Topic 1.13 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.13 of AP Calculus AB – Removing Discontinuities.
Questions List
Topic 1.13
Question 1 Easy
Let be defined by
where is a constant.
If is continuous at , what is the value of ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 1.13: Removing Discontinuities
Learning Objective: LIM-2.C
Determine values of x or solve for parameters that make discontinuous functions continuous, if possible.
Essential Knowledge: LIM-2.C.1
If the limit of a function exists at a discontinuity in its graph, then it is possible to remove the discontinuity by defining or redefining the value of the function at that point, so it equals the value of the limit of the function as x approaches that point.
Essential Knowledge: LIM-2.C.2
In order for a piecewise-defined function to be continuous at a boundary to the partition of its domain, the value of the expression defining the function on one side of the boundary must equal the value of the expression defining the other side of the boundary, as well as the value of the function at the boundary.
