AP®︎ Precalculus: Topic 3.7 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 3.7 of AP Precalculus – Sinusoidal Function Context and Data Modeling.
Questions List
Topic 3.7
Question 1 Easy
A Ferris wheel's highest point is 52 meters above the ground, and its lowest point is 4 meters above the ground. A rider's height above the ground is modeled by a sinusoidal function of time.
What is the amplitude of the model?
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 3.7: Sinusoidal Function Context and Data Modeling
Learning Objective: 3.7.A
Construct sinusoidal function models of periodic phenomena.
Essential Knowledge: 3.7.A.1
The smallest interval of input values over which the maximum or minimum output values start to repeat, that is, the input-value interval between consecutive maxima or consecutive minima, can be used to determine or estimate the period and frequency for a sinusoidal function model.
Essential Knowledge: 3.7.A.2
The maximum and minimum output values can be used to determine or estimate the amplitude and vertical shift for a sinusoidal function model.
Essential Knowledge: 3.7.A.3
An actual pair of input-output values can be compared to pairs of input-output values produced by a sinusoidal function model to determine or estimate a phase shift for the model.
Essential Knowledge: 3.7.A.4
Sinusoidal function models can be constructed for a data set with technology by estimating key values or using sinusoidal regressions.
Essential Knowledge: 3.7.A.5
Sinusoidal functions that model a data set are frequently only useful over their contextual domain, can be used to predict values of the dependent variable from values of the independent variable, and may be used to determine values of the independent variable from values of the dependent variable.
