AP®︎ Precalculus: Topic 3.14 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.14 of AP Precalculus – Polar Function Graphs.

Questions List

Topic 3.14

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Q14

Question 1 Easy

What are the rectangular coordinates of the point on the graph of r=4cos⁡θr = 4\cos\theta at θ=π3\theta = \frac{\pi}{3}?

A(3,1)(\sqrt{3}, 1)
B(1,3)(1, \sqrt{3})
C(3,3)(\sqrt{3}, 3)
D(2,23)(2, 2\sqrt{3})

What You’re Being Tested On:

Explore the learning objectives taken directly from the College Board’s AP® Precalculus 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 3.14: Polar Function Graphs

Learning Objective: 3.14.A

Construct graphs of polar functions.

Essential Knowledge: 3.14.A.1

The graph of the function r=f(θ)r = f(\theta) in polar coordinates consists of input-output pairs of values where the input values are angle measures and the output values are radii.

Essential Knowledge: 3.14.A.2

The domain of the polar function r=f(θ)r = f(\theta), given graphically, can be restricted to a desired portion of the function by selecting endpoints corresponding to the desired angle and radius.

Essential Knowledge: 3.14.A.3

When graphing polar functions in the form of r=f(θ)r = f(\theta), changes in input values relate to changes in angle measures from the polar axis, and changes in output values relate to changes in signed radial displacements from the origin.

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