Graph the set {x | -5

Calculus: Early Transcendentals
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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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**Transcription for Educational Website**

**Task:**

Graph the set \( \{ x \mid -5 < x \leq -3 \} \) on the number line. Then, write the set using interval notation.

**Explanation:**

1. **Number Line Graph:**

   - The graph on the number line shows a segment between -5 and -3.
   - There is an open circle at -5, indicating that -5 is not included in the set.
   - There is a closed circle at -3, indicating that -3 is included in the set.

2. **Interval Notation:**

   - The interval is denoted as \((-5, -3]\).
   - The parenthesis before -5 indicates that -5 is not included.
   - The square bracket after -3 indicates that -3 is included.

3. **Interface Elements:**

   - The toolbox includes options to draw open or closed circles and line segments.
   - Various notations are presented for creating intervals including open and closed brackets, infinity symbols, and set notation.
Transcribed Image Text:**Transcription for Educational Website** **Task:** Graph the set \( \{ x \mid -5 < x \leq -3 \} \) on the number line. Then, write the set using interval notation. **Explanation:** 1. **Number Line Graph:** - The graph on the number line shows a segment between -5 and -3. - There is an open circle at -5, indicating that -5 is not included in the set. - There is a closed circle at -3, indicating that -3 is included in the set. 2. **Interval Notation:** - The interval is denoted as \((-5, -3]\). - The parenthesis before -5 indicates that -5 is not included. - The square bracket after -3 indicates that -3 is included. 3. **Interface Elements:** - The toolbox includes options to draw open or closed circles and line segments. - Various notations are presented for creating intervals including open and closed brackets, infinity symbols, and set notation.
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