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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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C)

### Transcription and Explanation

#### Text Content:

1. **Title:** Find the Values from the Graph
2. **Instructions:** 
   - a) \(\lim_{{x \to 0}} f(x)\)
   - b) \(f(0)\)
   - c) \(\lim_{{x \to 2}} f(x)\)
   - d) \(f(2)\)

#### Diagram Explanation:

The diagram is a sketch of a coordinate plane, showing a graph with specific points and directions for the function \(f(x)\).

- **Axes:** The graph includes horizontal and vertical lines representing the x-axis and y-axis. Both axes have arrows indicating the positive and negative directions.
- **Graph Features:**
  - A bold dot on the y-axis marks a particular point of interest for \(f(x)\).
  - An open circle is placed along the x-axis with a line extending in the negative direction.
  - There are arrows pointing outwards from the graph, suggesting the behavior of the function at infinity or towards specific values.

This setup indicates tasks related to calculating limits as \(x\) approaches certain values and determining the value of the function at specific points. The use of bold and open circles suggests the function's behavior, such as continuity or discontinuity at those points.
Transcribed Image Text:### Transcription and Explanation #### Text Content: 1. **Title:** Find the Values from the Graph 2. **Instructions:** - a) \(\lim_{{x \to 0}} f(x)\) - b) \(f(0)\) - c) \(\lim_{{x \to 2}} f(x)\) - d) \(f(2)\) #### Diagram Explanation: The diagram is a sketch of a coordinate plane, showing a graph with specific points and directions for the function \(f(x)\). - **Axes:** The graph includes horizontal and vertical lines representing the x-axis and y-axis. Both axes have arrows indicating the positive and negative directions. - **Graph Features:** - A bold dot on the y-axis marks a particular point of interest for \(f(x)\). - An open circle is placed along the x-axis with a line extending in the negative direction. - There are arrows pointing outwards from the graph, suggesting the behavior of the function at infinity or towards specific values. This setup indicates tasks related to calculating limits as \(x\) approaches certain values and determining the value of the function at specific points. The use of bold and open circles suggests the function's behavior, such as continuity or discontinuity at those points.
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