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Determine the amplitude of the following graph. 4 2 -37 -57 80 -37 80 371 37 4 4 8. 8. 4. 2 8. -2 -3, -5 1.

Determine the amplitude of the following graph. 4 2 -37 -57 80 -37 80 371 37 4 4 8. 8. 4. 2 8. -2 -3, -5 1.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Determine the amplitude of the following graph.** **Graph Description:** - **Axes:** The graph is plotted on a Cartesian plane with the horizontal axis labeled as \( x \) and the vertical axis labeled as \( y \). - **X-Axis Ticks:** The x-axis is marked in increments of \(\frac{\pi}{8}\), ranging from \(-\frac{3\pi}{4}\) to \(\pi\). - **Y-Axis Range:** The y-axis is numbered from -5 to 5. - **Wave Pattern:** The graph depicts a sinusoidal wave pattern moving horizontally across the x-axis. - **Amplitude:** The wave reaches a maximum height of 4 and a minimum height of -4 on the y-axis, indicating that the amplitude is 4. **Explanation:** The amplitude of a wave is the distance from the centerline (equilibrium position) to the peak or trough. In this graph, the centerline is at \( y = 0 \), and the peaks are at \( y = 4 \), establishing an amplitude of 4.
Transcribed Image Text:**Determine the amplitude of the following graph.** **Graph Description:** - **Axes:** The graph is plotted on a Cartesian plane with the horizontal axis labeled as \( x \) and the vertical axis labeled as \( y \). - **X-Axis Ticks:** The x-axis is marked in increments of \(\frac{\pi}{8}\), ranging from \(-\frac{3\pi}{4}\) to \(\pi\). - **Y-Axis Range:** The y-axis is numbered from -5 to 5. - **Wave Pattern:** The graph depicts a sinusoidal wave pattern moving horizontally across the x-axis. - **Amplitude:** The wave reaches a maximum height of 4 and a minimum height of -4 on the y-axis, indicating that the amplitude is 4. **Explanation:** The amplitude of a wave is the distance from the centerline (equilibrium position) to the peak or trough. In this graph, the centerline is at \( y = 0 \), and the peaks are at \( y = 4 \), establishing an amplitude of 4.
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