AP®︎ Calculus AB: Topic 5.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 5.3 of AP Calculus AB – Determining Intervals on Which a Function Is Increasing or Decreasing.


Questions List

Topic 5.3

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12

Question 1 Easy

Let f(x)=x3−3x2−9x+1f(x) = x^3 - 3x^2 - 9x + 1.

What are all the intervals on which ff is increasing?

Ax<−1x < -1 and x>3x > 3
B−1<x<3-1 < x < 3
Cx>1x > 1
Dx<−3x < -3 and x>1x > 1

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 5.3: Determining Intervals on Which a Function Is Increasing or Decreasing

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.1

The first derivative of a function can provide information about the function and its graph, including intervals where the function is increasing or decreasing.