ng graph, identify the amplitude of the function: -180 180
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the amplitude of this?
Transcribed Image Text:**Graph Analysis: Identifying Amplitude**
**Graph Description:**
The graph appears to represent a trigonometric or periodic function plotted on a Cartesian coordinate system. The x-axis is labeled with angles in degrees: -360°, -180°, 180°, and 360°. The y-axis marks integer values at -2, -1, 0, 1, and 2.
**Function Characteristics:**
- The graph shows a function with vertical asymptotes, indicating that it is likely a tangent or cotangent function, which have no amplitude since they are not bounded vertically.
- The curve trends upward from the bottom left, passes through the origin around -180°, and continues upward on the right side, suggesting it fits the pattern of a tangent function.
- The function seems to repeat its pattern between each set of asymptotes, consistent with the periodic nature of trigonometric functions.
**Conclusion:**
As tangent and cotangent functions do not have an amplitude, the concept of amplitude does not apply to this graph. For such functions, key features like period and asymptotes are more relevant.
This analysis underlines the importance of recognizing function types to identify applicable characteristics like amplitude.
Expert Solution
Step 1
From the given graph, it is observed that the graph is seems like a tangent function.
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