Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Determine the range of the following function in set notation:
**Title: Determining the Range of a Function in Set Notation**

**Question 3 of 5**

**Task:**
Determine the range of the following function in set notation:

**Graph Explanation:**

The graph displays a piecewise linear function. The function consists of two line segments connected on a coordinate plane with both x and y axes marked. The plane is divided into square units.

- The left line segment starts at the point (\(-4, 3\)) and ends at (\(0, 2\)).
- The right line segment begins at the point (\(0, 2\)) and ends at (\(3, -5\)).

**Answer Options:**

A. \(-3 \leq x \leq 4\)

B. \(-3 \leq x \leq 2\)

C. \(-5 \leq x \leq 3\)

D. \(-5 \leq x \leq 4\)

**Objective:**
Identify the correct option that represents the range of the function based on the provided graph.

**Note:**
To determine the range, observe the minimum and maximum y-values that the graph covers.
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Transcribed Image Text:**Title: Determining the Range of a Function in Set Notation** **Question 3 of 5** **Task:** Determine the range of the following function in set notation: **Graph Explanation:** The graph displays a piecewise linear function. The function consists of two line segments connected on a coordinate plane with both x and y axes marked. The plane is divided into square units. - The left line segment starts at the point (\(-4, 3\)) and ends at (\(0, 2\)). - The right line segment begins at the point (\(0, 2\)) and ends at (\(3, -5\)). **Answer Options:** A. \(-3 \leq x \leq 4\) B. \(-3 \leq x \leq 2\) C. \(-5 \leq x \leq 3\) D. \(-5 \leq x \leq 4\) **Objective:** Identify the correct option that represents the range of the function based on the provided graph. **Note:** To determine the range, observe the minimum and maximum y-values that the graph covers.
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