Subjects trigonometry

Sinusoidal Amplitude 928476

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1. The problem asks to find the amplitude of the sinusoidal function shown in the graph. 2. The amplitude of a sinusoidal function is the distance from the midline (average value) to the maximum or minimum value of the function. 3. From the graph, the wave oscillates between approximately -3 and 1 on the y-axis. 4. Calculate the midline (average of max and min): $$\text{midline} = \frac{1 + (-3)}{2} = \frac{-2}{2} = -1$$ 5. Calculate the amplitude (distance from midline to peak): $$\text{amplitude} = 1 - (-1) = 1 + 1 = 2$$ 6. Therefore, the amplitude of the sinusoidal function is 2. Final answer: $$\boxed{2}$$