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AP Calculus AB Fun 4 A Justify Conclusions About the Behavior of a Function Based on the Behavior of Its Derivatives Topic 5 8 Questions

Practise graph-sketching questions by connecting a function with its first and second derivatives, intercepts, extrema and concavity.

Syllabus
Effective Fall 2025
Course
AP Calculus AB

Exam points

  • use derivative signs to sketch increasing and decreasing behavior
  • connect extrema and concavity of a function to its derivative graphs

AP Calculus AB Fun 4 A Justify Conclusions About the Behavior of a Function Based on the Behavior of Its Derivatives Topic 5 8 Questions question 1

[Maximum number: 1]

Given f′f^{\prime} as graphed, which could be a graph of f ?

Figure for Question AP Calculus AB Fun 4 A Justify Conclusions About the Behavior of a Function Based on the Behavior of Its Derivatives Topic 5 8 Questions question 1 — AP Calculus AB
A

I only

B

II only

C

III only

D

I and III only

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