AP®︎ Calculus BC: Topic 1.1 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 1.1 of AP Calculus BC – Introducing Calculus: Can Change Occur at an Instant?.
Questions List
Topic 1.1
Question 1 Easy
Let . What is the average rate of change of from to ?
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 1.1: Introducing Calculus: Can Change Occur at an Instant?
Learning Objective: CHA-1.A
Interpret the rate of change at an instant in terms of average rates of change over intervals containing that instant.
Essential Knowledge: CHA-1.A.1
Calculus uses limits to understand and model dynamic change.
Essential Knowledge: CHA-1.A.2
Because an average rate of change divides the change in one variable by the change in another, the average rate of change is undefined at a point where the change in the independent variable would be zero.
Essential Knowledge: CHA-1.A.3
The limit concept allows us to define instantaneous rate of change in terms of average rates of change.
