Does the graph represent y as a function of a? OA. Yes, this represents a function OB. No, this does not represent a function If the graph represents y as a function of a, state the domain and choose the correct range of the function. If the graph does not represent y as a function of a, leave the answer blanks for and choose option (E) from the multiple choice. The domain is: Note: Write your answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If the answer is-oo, input-infinity; if the answer is oo, input infinity. The range is: OA. [-8,-3] U {-1} OB. [-8,-5) U{-1} OC. [-8,-3] OD. [-8,-1] OE. Not a function 9.

Algebra and Trigonometry (6th Edition)
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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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Does the graph represent \( y \) as a function of \( x \)?

- A. Yes, this represents a function
- B. No, this does not represent a function

If the graph represents \( y \) as a function of \( x \), state the domain and choose the correct range of the function. If the graph does not represent \( y \) as a function of \( x \), leave the answer blanks for \( x \) and choose option (E) from the multiple choice.

The domain is: [Textbox for input]

**Note:** Write your answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, \( U \). If the answer is \( -\infty \), input \(-infinity\); if the answer is \( \infty \), input \( infinity \).

The range is:

- A. \([-8, -3] \cup \{-1\}\)
- B. \([-8, -5)\) \(\cup\) \{-1\}
- C. \([-8, -3)\)
- D. \([-8, -1]\)
- E. Not a function
Transcribed Image Text:Does the graph represent \( y \) as a function of \( x \)? - A. Yes, this represents a function - B. No, this does not represent a function If the graph represents \( y \) as a function of \( x \), state the domain and choose the correct range of the function. If the graph does not represent \( y \) as a function of \( x \), leave the answer blanks for \( x \) and choose option (E) from the multiple choice. The domain is: [Textbox for input] **Note:** Write your answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, \( U \). If the answer is \( -\infty \), input \(-infinity\); if the answer is \( \infty \), input \( infinity \). The range is: - A. \([-8, -3] \cup \{-1\}\) - B. \([-8, -5)\) \(\cup\) \{-1\} - C. \([-8, -3)\) - D. \([-8, -1]\) - E. Not a function
The image displays a two-dimensional Cartesian coordinate plane with a piecewise linear graph. The x-axis and y-axis both range from -10 to 10, marked at intervals of 1 on a grid.

### Graph Description:

1. **Horizontal Segment:**
   - Positioned parallel to the x-axis at \( y = 1 \).
   - Begins approximately at \( x = 2 \) and ends at \( x = 4 \).
   - Both endpoints are marked with solid blue dots, indicating that the segment includes these points.

2. **Angular Segment:**
   - Starts with an open blue dot at \((-2, -8)\), indicating that the segment does not include this point.
   - Moves upwards to a minimum point at the origin \((0, -10)\).
   - Then, it continues with a sharp turn, changing direction upwards to the right and ending at \((6, 3)\), marked with a solid blue dot.

### Key Observations:

- The line includes points of change where it starts and ends, and it exhibits two distinct paths: a horizontal section and an angular segment starting at negative values and moving upward.
- The open and closed dots indicate whether the endpoints are included in the section of the graph they define.
- This piecewise function graph can be used to illustrate concepts such as open and closed intervals, endpoints, and piecewise functions in mathematics.
Transcribed Image Text:The image displays a two-dimensional Cartesian coordinate plane with a piecewise linear graph. The x-axis and y-axis both range from -10 to 10, marked at intervals of 1 on a grid. ### Graph Description: 1. **Horizontal Segment:** - Positioned parallel to the x-axis at \( y = 1 \). - Begins approximately at \( x = 2 \) and ends at \( x = 4 \). - Both endpoints are marked with solid blue dots, indicating that the segment includes these points. 2. **Angular Segment:** - Starts with an open blue dot at \((-2, -8)\), indicating that the segment does not include this point. - Moves upwards to a minimum point at the origin \((0, -10)\). - Then, it continues with a sharp turn, changing direction upwards to the right and ending at \((6, 3)\), marked with a solid blue dot. ### Key Observations: - The line includes points of change where it starts and ends, and it exhibits two distinct paths: a horizontal section and an angular segment starting at negative values and moving upward. - The open and closed dots indicate whether the endpoints are included in the section of the graph they define. - This piecewise function graph can be used to illustrate concepts such as open and closed intervals, endpoints, and piecewise functions in mathematics.
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