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

Q1
Q2
Q3
Q4
Q5
Q6
Q7
Q8
Q9
Q10
Q11
Q12
Q13
Q14
Q15
Q16
Q17
Q18
Q19
Q20

Question 1 Easy

Let ff be a differentiable function with f(2)=5f(2)=5 and f′(2)=3f'(2)=3.

Using the line tangent to the graph of ff at x=2x=2, which of the following is an approximation of f(2.1)f(2.1)?

A5.35.3
B11.311.3
C4.74.7
D0.30.3

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.