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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![**The Graph of the Function \( f(x) \)**
Below is the graph of the function \( f(x) \):
- The graph is plotted on a Cartesian coordinate system.
- The x-axis and y-axis both range from -5 to 5.
- The graph depicts two linear segments forming a V-shape.
**Details of the Graph:**
- The left segment is a line with a negative slope extending from approximately (-5, 5) to (0, 0).
- The right segment is a line with a positive slope extending from (0, 0) to (5, 5).
- The vertex of the V-shape is at the origin (0, 0).
**Limit and Function Value**
- \(\lim_{x \to 0} f(x) =\) [Input box for value]
- \(f(0) =\) [Input box for value]
This graph can represent an absolute value function, often used to explore continuity and limits at sharp turns or cusps in mathematical analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa35d32dc-632b-40fd-aa41-e2c0040899b1%2F477f634a-7f45-4349-8653-21e81039f7bc%2Feh7y8yr_processed.png&w=3840&q=75)
Transcribed Image Text:**The Graph of the Function \( f(x) \)**
Below is the graph of the function \( f(x) \):
- The graph is plotted on a Cartesian coordinate system.
- The x-axis and y-axis both range from -5 to 5.
- The graph depicts two linear segments forming a V-shape.
**Details of the Graph:**
- The left segment is a line with a negative slope extending from approximately (-5, 5) to (0, 0).
- The right segment is a line with a positive slope extending from (0, 0) to (5, 5).
- The vertex of the V-shape is at the origin (0, 0).
**Limit and Function Value**
- \(\lim_{x \to 0} f(x) =\) [Input box for value]
- \(f(0) =\) [Input box for value]
This graph can represent an absolute value function, often used to explore continuity and limits at sharp turns or cusps in mathematical analysis.
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