AP®︎ Calculus AB: Topic 5.8 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.8 of AP Calculus AB – Sketching Graphs of Functions and Their Derivatives.

Questions List

Topic 5.8

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Question 1 Easy

Figure

The graph of f′f', the derivative of the function ff, is shown for −4≤x≤4-4\leq x\leq4. The function ff is differentiable on this interval.

Which of the following statements about ff is true?

Aff is decreasing on −2<x<2-2<x<2.
Bff is decreasing on −4<x<0-4<x<0.
Cff is increasing on 0<x<40<x<4.
Dff is increasing on −2<x<2-2<x<2.

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 5.8: Sketching Graphs of Functions and Their Derivatives

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.9

Key features of functions and their derivatives can be identified and related to their graphical, numerical, and analytical representations.

Essential Knowledge: FUN-4.A.10

Graphical, numerical, and analytical information from f' and f'' can be used to predict and explain the behavior of f.

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