3. Over which domain is the function only decreasing: 1. (-00, -4) 2. (-4, -1.3) 3. (-1.3, 1) 4. (0, 3)

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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**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. \((-4, -1.3)\)**
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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