AP®︎ Calculus BC: Topic 8.1 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 8.1 of AP Calculus BC – Finding the Average Value of a Function on an Interval.

Questions List

Topic 8.1

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
Q18
Q19

Question 1 Easy

The function ff is continuous on [3,8][3,8].

Which expression gives the average value of ff on [3,8][3,8]?

A15∫38f(x) dx\frac{1}{5}\int_3^8 f(x)\,dx
B∫38f(x) dx\int_3^8 f(x)\,dx
C18∫38f(x) dx\frac{1}{8}\int_3^8 f(x)\,dx
Df(8)−f(3)5\frac{f(8)-f(3)}{5}

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 8.1: Finding the Average Value of a Function on an Interval

Learning Objective: CHA-4.B

Determine the average value of a function using definite integrals.

Essential Knowledge: CHA-4.B.1

The average value of a continuous function f over an interval [a, b] is (1/(b - a)) ∫_a^b f(x) dx.

Also applying to college?Free college essay reviewGet your college essay graded