AP®︎ Calculus BC: Topic 5.5 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.5 of AP Calculus BC – Using the Candidates Test to Determine Absolute (Global) Extrema.

Questions List

Topic 5.5

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Question 1 Easy

Let ff be continuous on [a,b][a,b], where a<ba<b.

Which statement must be true about where ff attains its absolute minimum on [a,b][a,b]?

AOnly at a critical point of ff in (a,b)(a,b).
BOnly at x=ax=a or x=bx=b.
COnly at a critical point of ff in (a,b)(a,b), or at x=ax=a or x=bx=b.
DOnly at a point in (a,b)(a,b) where f′(x)=0f'(x)=0, or at x=ax=a or x=bx=b.

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Calculus BC 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 5.5: Using the Candidates Test to Determine Absolute (Global) Extrema

Learning Objective: FUN-4.A

Justify conclusions about the behavior of a function based on the behavior of its derivatives.

Essential Knowledge: FUN-4.A.3

Absolute (global) extrema of a function on a closed interval can only occur at critical points or at endpoints.

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