AP®︎ Calculus AB: Topic 4.6 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 4.6 of AP Calculus AB – Approximating Values of a Function Using Local Linearity and Linearization.
Questions List
Topic 4.6
Question 1 Easy
Let be a differentiable function with and .
Using the line tangent to the graph of at , which of the following is an approximation of ?
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 4.6: Approximating Values of a Function Using Local Linearity and Linearization
Learning Objective: CHA-3.F
Approximate a value on a curve using the equation of a tangent line.
Essential Knowledge: CHA-3.F.1
The tangent line is the graph of a locally linear approximation of the function near the point of tangency.
Essential Knowledge: CHA-3.F.2
For a tangent line approximation, the function’s behavior near the point of tangency may determine whether a tangent line value is an underestimate or an overestimate of the corresponding function value.