AP®︎ Calculus BC: 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 BC – Sketching Graphs of Functions and Their Derivatives.

Questions List

Topic 5.8

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Question 1 Easy

Figure

The function ff is differentiable on −2≤x≤4-2\leq x\leq4. The graph of f′f' is shown.

What are all intervals on which ff is increasing?

A−2<x<−1-2<x<-1 and 3<x<43<x<4
B−2<x<1-2<x<1
C−1<x<3-1<x<3
D−1<x<1-1<x<1

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 5.8: 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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