AP®︎ Calculus AB: Topic 5.6 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.6 of AP Calculus AB – Determining Concavity of Functions over Their Domains.


Questions List

Topic 5.6

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Q2
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Q4
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Q6
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Question 1 Easy

On an open interval, f′(x)>0f'(x)>0 and f′′(x)<0f''(x)<0. Which could be the graph of ff on that interval?

AGraph option
BGraph option
CGraph option
DGraph option

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 5.6: Determining Concavity of Functions over Their Domains

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.4

The graph of a function is concave up (down) on an open interval if the function’s derivative is increasing (decreasing) on that interval.

Essential Knowledge: FUN-4.A.5

The second derivative of a function provides information about the function and its graph, including intervals of upward or downward concavity.

Essential Knowledge: FUN-4.A.6

The second derivative of a function may be used to locate points of inflection for the graph of the original function.