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M3-036-A08-V03
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F-TF.5
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M3-036-A08-V03
Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Interpret every sinusoidal parameter with units
Problem
Use the graph of \(y~=~2\sin(8\pi~t)\) to state the amplitude, midline, period, frequency, phase shift, range, and behavior at \(t~=~0\), with units where applicable.
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A
The amplitude is 2 output units, the midline is 0, the period is 1/4 time unit, the frequency is 4 cycles per time unit, the phase shift is 1 time unit right, and the range is [-2, 2]. At t = 0, the model crosses its midline upward.
B
The amplitude is 2 output units, the midline is 0, the period is 1/4 time unit, the frequency is 4 cycles per time unit, the phase shift is 0, and the range is [-2, 2]. At t = 0, the model crosses its midline upward.
C
The amplitude is 2 output units, the midline is 0, the period is 4 cycles per time unit, the frequency is 1/4 time unit, the phase shift is 0, and the range is [-2, 2]. At t = 0, the model crosses its midline upward.
D
The amplitude is -2 output units, the midline is 0, the period is 1/4 time unit, the frequency is 4 cycles per time unit, the phase shift is 0, and the range is [-2, 2]. At t = 0, the model crosses its midline upward.
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Curriculum context
Standard F-TF.5
Category Functions
Domain Trigonometric Functions
Objective Choose trig functions to model periodic phenomena using amplitude, frequency, and midline.
Problem type Interpret every sinusoidal parameter with units
