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AP Precalculus Flashcards: Sinusoidal Functions

Study Sinusoidal Functions in AP Precalculus with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the range of y=4 sin(x)−2y = 4 \, \text{sin}(x) - 2?

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ANSWER

[-6, 2]. Range is [D−∣A∣,D+∣A∣]=[−2−4,−2+4][D-|A|, D+|A|] = [-2-4, -2+4].

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AP Precalculus: Trigonometric and Polar Functions

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What this deck covers

This deck focuses on Sinusoidal Functions, giving you a quick way to review the definitions, rules, and examples that matter most for AP Precalculus.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 12Practice questions for this set
A Ferris wheel height is h(t)=10cos⁡ ⁣(π12t)+12h(t)=10\cos\!\left(\frac{\pi}{12}t\right)+12, where tt is seconds. The amplitude is 1010, representing the radius, and the vertical shift is 1212. The period is 2424 seconds, so the motion repeats regularly. Doubling amplitude changes only the distance from the midline, not timing. Using the given function, how would the graph change if the amplitude is doubled?
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