Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 15E
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Transcribed Image Text:**Graph Behavior Analysis**
**Question 3:** Over which domain is the function **only decreasing**?
**Given Options:**
1. \((-∞, -4)\)
2. \((-4, -1.3)\)
3. \((-1.3, 1)\)
4. \((0, 3)\)
**Graph Description:**
The graph provided is a continuous function with a clear peak and trough.
- The function increases from \( x = -∞ \) up to a local maximum just before \( x = -4 \).
- It decreases from \( x \approx -4 \) to \( x \approx -1.3 \).
- It increases again to a global maximum around \( x = 1 \).
- It finally decreases for \( x > 1 \).
**Correct Domain:**
Based on the graph's behavior, the function is only **decreasing** over the interval \((-4, -1.3)\).
Thus, the correct answer is:
**2. \((-4, -1.3)\)**
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