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AP Calculus AB 5.8 Sketching Graphs of Functions and Their Derivatives Questions

Review AP Calculus AB 5.8 by matching a function with its derivative graphs, using zeros, sign changes, extrema, and concavity as the evidence.

Exam points

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

Covered syllabus points

FUN-4.A—Justify conclusions about the behavior of a function based on the behavior of its derivatives—Topic 5.8

[Maximum number: 1]

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

Figure for Question 1 — AP Calculus AB

A

I only

B

II only

C

III only

D

I and III only

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