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Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Analyzing Function Behavior

**Objective:**
Determine the intervals on which the function is:
- (a) Increasing
- (b) Decreasing
- (c) Constant

**Instructions:**
- For part (a), enter the interval(s) during which the function is increasing.
- Use a comma to separate multiple intervals where applicable.
- Enter your answer in interval notation.

**Part (a): The function is increasing on the interval(s):**

**Graph Explanation:**
The provided graph displays a plotted function with key points indicated on the coordinate plane. The graph is on a typical \((x, y)\) axis.

- The function appears to have segments where it increases, decreases, or remains constant.
- Use the graph to determine when the function's slope is positive (increasing), negative (decreasing), or zero (constant).

**Understanding Interval Notation:**
- \((a, b)\) denotes that the function is increasing between points \(a\) and \(b\) but not including the endpoints.
- \([a, b]\) denotes that the function is increasing between points \(a\) and \(b\) including the endpoints.

**Illustration:**
Refer to the graph alongside for visual guidance on determining the function's behavior at different intervals.

### Tooling Options
- "View an example" can provide sample problems for better understanding.
- "Get more help" directs you to additional resources.
- "Clear all" will reset the current inputs.
- "Skill builder" offers practice opportunities.

**Note:** Ensure accurate interval notation when inputting your answers.

---

This educational content helps students understand how to analyze the behavior of functions based on graphical data, ensuring thorough comprehension of increasing, decreasing, and constant segments.
Transcribed Image Text:### Analyzing Function Behavior **Objective:** Determine the intervals on which the function is: - (a) Increasing - (b) Decreasing - (c) Constant **Instructions:** - For part (a), enter the interval(s) during which the function is increasing. - Use a comma to separate multiple intervals where applicable. - Enter your answer in interval notation. **Part (a): The function is increasing on the interval(s):** **Graph Explanation:** The provided graph displays a plotted function with key points indicated on the coordinate plane. The graph is on a typical \((x, y)\) axis. - The function appears to have segments where it increases, decreases, or remains constant. - Use the graph to determine when the function's slope is positive (increasing), negative (decreasing), or zero (constant). **Understanding Interval Notation:** - \((a, b)\) denotes that the function is increasing between points \(a\) and \(b\) but not including the endpoints. - \([a, b]\) denotes that the function is increasing between points \(a\) and \(b\) including the endpoints. **Illustration:** Refer to the graph alongside for visual guidance on determining the function's behavior at different intervals. ### Tooling Options - "View an example" can provide sample problems for better understanding. - "Get more help" directs you to additional resources. - "Clear all" will reset the current inputs. - "Skill builder" offers practice opportunities. **Note:** Ensure accurate interval notation when inputting your answers. --- This educational content helps students understand how to analyze the behavior of functions based on graphical data, ensuring thorough comprehension of increasing, decreasing, and constant segments.
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