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Determine the domain of the following function in interval notation: A -3, o0) B -3, 0) C ( -3, 00) D (-0, -3)

Determine the domain of the following function in interval notation: A -3, o0) B -3, 0) C ( -3, 00) D (-0, -3)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Determine the domain of the following function in interval notation:
### Determine the Domain of the Function **Graph Description:** The graph depicts a linear function on a coordinate plane. The line begins at the point \((-3, 0)\) with an open circle, indicating that this point is not included in the graph. The line extends to the right and upwards with a positive slope, passing through the points \((0, 2)\) and continuing beyond. **Options for the Domain in Interval Notation:** A. \([-3, \infty)\) B. \([-3, \infty)\) C. \((-3, \infty)\) D. \((-\infty, -3)\) **Correct Answer:** C. \((-3, \infty)\) **Explanation:** The domain of the function, represented by the open circle at \((-3, 0)\), implies that the value \(-3\) is not included in the domain. Thus, the correct interval notation begins just after \(-3\) and includes all values extending to infinity.
Transcribed Image Text:### Determine the Domain of the Function **Graph Description:** The graph depicts a linear function on a coordinate plane. The line begins at the point \((-3, 0)\) with an open circle, indicating that this point is not included in the graph. The line extends to the right and upwards with a positive slope, passing through the points \((0, 2)\) and continuing beyond. **Options for the Domain in Interval Notation:** A. \([-3, \infty)\) B. \([-3, \infty)\) C. \((-3, \infty)\) D. \((-\infty, -3)\) **Correct Answer:** C. \((-3, \infty)\) **Explanation:** The domain of the function, represented by the open circle at \((-3, 0)\), implies that the value \(-3\) is not included in the domain. Thus, the correct interval notation begins just after \(-3\) and includes all values extending to infinity.
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