AP®︎ Calculus BC: Topic 5.9 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.9 of AP Calculus BC – Connecting a Function, Its First Derivative, and Its Second Derivative.


Questions List

Topic 5.9

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16

Question 1 Easy

Figure

The graph of f′f', the derivative of a differentiable function ff, is shown for −3≤x≤5-3\leq x\leq5. On which interval(s) is ff increasing?

A−3<x<1-3<x<1
B−1<x<3-1<x<3
C−3<x<−1-3<x<-1 and 3<x<53<x<5
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 5.9: Connecting a Function, Its First Derivative, and Its Second Derivative

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.11

Key features of the graphs of f, f', and f" are related to one another.