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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![The graph shown depicts a portion of a parabolic curve. The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6. The curve appears to be a segment of a quadratic function, likely a parabola that opens upwards. This segment is bounded between the points on the x-axis, -2.5 and 1, with the y-values spanning from -2 to 1.
Notably:
- There is an open circle at the point (-2.5, 1), indicating that this point is not included in the domain or range.
- There is a solid point at (1, 1), indicating that this point is included in the domain and range.
**Question:**
Write the domain of the function using interval notation.
**Explanation of Graph:**
The graph illustrates that the domain (the set of all possible x-values) starts slightly greater than -2.5 and goes up to 1 inclusively. This is because the function's curve begins just after x = -2.5 (open circle) and ends at x = 1 (solid point).
Considering this, in interval notation, the domain of the function is:
\[ \text{Domain: } (-2.5, 1] \]
Please enter the domain of the function in the textbox provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab90fdf9-da41-461c-9056-08da6acfe393%2Ffe6546da-e96c-4ea4-9c99-430fe8d37ad6%2F1mevl4o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The graph shown depicts a portion of a parabolic curve. The x-axis ranges from -6 to 6, and the y-axis ranges from -6 to 6. The curve appears to be a segment of a quadratic function, likely a parabola that opens upwards. This segment is bounded between the points on the x-axis, -2.5 and 1, with the y-values spanning from -2 to 1.
Notably:
- There is an open circle at the point (-2.5, 1), indicating that this point is not included in the domain or range.
- There is a solid point at (1, 1), indicating that this point is included in the domain and range.
**Question:**
Write the domain of the function using interval notation.
**Explanation of Graph:**
The graph illustrates that the domain (the set of all possible x-values) starts slightly greater than -2.5 and goes up to 1 inclusively. This is because the function's curve begins just after x = -2.5 (open circle) and ends at x = 1 (solid point).
Considering this, in interval notation, the domain of the function is:
\[ \text{Domain: } (-2.5, 1] \]
Please enter the domain of the function in the textbox provided.
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