Which function is periodic? A

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**Which function is periodic?**

**Graph Analysis:**

- **Option A:**
  This graph shows an orange wave pattern that oscillates and seems to decrease its amplitude as it approaches the center.

- **Option B:**
  The blue graph illustrates a curve that does not exhibit regular cycles, with varying peaks and troughs.

- **Option C:**
  The red graph displays a consistent wave pattern with repeating cycles, indicating periodic behavior.

- **Option D:**
  This green graph depicts an asymptotic behavior, suggesting it does not repeat in a cyclical fashion.

**Answer:**
Option C represents a periodic function, as it displays a regular, repeating wave pattern.
Transcribed Image Text:**Which function is periodic?** **Graph Analysis:** - **Option A:** This graph shows an orange wave pattern that oscillates and seems to decrease its amplitude as it approaches the center. - **Option B:** The blue graph illustrates a curve that does not exhibit regular cycles, with varying peaks and troughs. - **Option C:** The red graph displays a consistent wave pattern with repeating cycles, indicating periodic behavior. - **Option D:** This green graph depicts an asymptotic behavior, suggesting it does not repeat in a cyclical fashion. **Answer:** Option C represents a periodic function, as it displays a regular, repeating wave pattern.
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