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The graph below is the function f(x) 4 2 -5 -4 -3 -2 -1 1/2 3 4 5 -2 -3 -4- -5+ lim f(x) = f(0) =

The graph below is the function f(x) 4 2 -5 -4 -3 -2 -1 1/2 3 4 5 -2 -3 -4- -5+ lim f(x) = f(0) =

Calculus: Early Transcendentals
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.
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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