Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:The graph displays multiple segments and points on a coordinate plane.
1. **Line Segments and Points:**
- A solid line segment begins at the point \((-7, -8)\) and ends at the open circle \((0, 8)\).
- A solid line segment starts at the open circle \((0, 8)\) and descends to a closed circle at \((2, 5)\).
- An open circle is located at \((4, 4)\).
2. **Vertical Asymptote and Curve:**
- A curve approaches from \(x = 4\) and continues rightward, dramatically increasing as it draws near \(x = 8\), suggesting a vertical asymptote at \(x = 8\).
**Domain of the Graphed Function:**
- For \(x\), the function is defined from \(-7\) to \(0\) (not including 0), indicated by the open circle.
- It continues from \(0\) to \(4\) (not including 4), then from \(6\) to \(8\) (not including 8).
In interval notation, the domain is: \( [-7, 0) \cup (0, 4) \cup (6, 8) \)
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