**Segment of a Graph and Domain Identification***Incorrect*A segment of the graph of the function \( f(x) = -2x - 2 \) is shown below.**Graph Description:**- The graph is a linear segment starting at the point \((-3, 4)\) and ending at the point \( (2, -6) \).- The x-axis and y-axis are both labeled from -4 to 4 and -6 to 4, respectively.- The slope of the line is negative, indicating a downward trend from left to right.**Question:**Which set builder notation represents the domain of the function in the graph?**Options:**- A. \(\{ x | -6 \leq x \leq -2 \}\)- B. \(\{ x | -3 \leq x \leq 2 \}\)- C. \(\{ y | -6 \leq y \leq 4 \}\)- D. \(\{ y | -3 \leq y \leq -6 \}\)*Note:* The correct set builder notation should reflect the range of x-values over which the graph is defined.

A segment of the graph of the function f(x) = -2x - 2 is shown. X (2-6) 4 Which set builder notation represents the domain of the function in the graph O A. {X-6≤x≤-2} B. {X-3≤x≤ 2} C. {M-6≤ y ≤ 4} OD. M-3≤ y ≤-6}

A segment of the graph of the function f(x) = -2x - 2 is shown. X (2-6) 4 Which set builder notation represents the domain of the function in the graph O A. {X-6≤x≤-2} B. {X-3≤x≤ 2} C. {M-6≤ y ≤ 4} OD. M-3≤ y ≤-6}

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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Question

**Segment of a Graph and Domain Identification**

*Incorrect*

A segment of the graph of the function \( f(x) = -2x - 2 \) is shown below.

**Graph Description:**
- The graph is a linear segment starting at the point \((-3, 4)\) and ending at the point \( (2, -6) \).
- The x-axis and y-axis are both labeled from -4 to 4 and -6 to 4, respectively.
- The slope of the line is negative, indicating a downward trend from left to right.

**Question:**
Which set builder notation represents the domain of the function in the graph?

**Options:**
- A. \(\{ x | -6 \leq x \leq -2 \}\)
- B. \(\{ x | -3 \leq x \leq 2 \}\)
- C. \(\{ y | -6 \leq y \leq 4 \}\)
- D. \(\{ y | -3 \leq y \leq -6 \}\)

*Note:* The correct set builder notation should reflect the range of x-values over which the graph is defined.

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