About This Drill
AP Precalculus: Sinusoidal Functions: Amplitude, Period, Midline (Drill 1) is a Math practice drill covering Sinusoidal Functions: Amplitude, Period, Midline. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.
Test your understanding of the core properties of sinusoidal functions, amplitude, period, and midline, the most heavily tested topic on the AP® Precalculus exam. Practice identifying these features from graphs, equations, and context, and master the LCM method for finding the period of sums of sinusoidal functions.
Questions in This Drill
- A sinusoidal function f has a minimum value of −3 and a maximum value of 11. What are the amplitude and midline of f?
- The function \( g(x) = 3\sin(2x) + 5\cos(4x) \) is the sum of two sinusoidal functions. What is the period of \( g(x) \)?
- A sinusoidal function f is shown in the graph below. Each grid square represents 1 unit.
What is the period of f? - Which of the following equations represents a sinusoidal function with amplitude 4, period \( \pi \), and midline \( y = -2 \)?
- A buoy bobs up and down in the ocean. Its height h (in feet above the ocean floor) is modeled by a sinusoidal function of time t in seconds. The buoy reaches a maximum height of 14 feet at t = 2 and the next minimum height of 6 feet at t = 8. What is the period of the function?