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The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

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 below is the function \( f(x) \). ### Description of the Graph: - The graph is plotted on a coordinate plane with \( x \)-axis ranging from -5 to 5 and \( y \)-axis ranging from -5 to 5. - There is a line segment that slopes downward from the point (-5, 5) to the point (2, -3). - At \( x = 2 \), there is a sharp change in the graph's direction, creating a vertex at the point (2, -3). - From the point (2, -3), another line segment slopes upward to the right, passing through points like (3, -2) and (5, 0). ### Mathematical Details: - The limit of \( f(x) \) as \( x \) approaches 2 is indicated, with a blank box for the value. - The value of \( f(2) \) is also requested, with a blank box for the value. ### Tasks: - Determine the limit of \( f(x) \) as \( x \rightarrow 2 \). - Calculate the value of \( f(2) \). This graph represents a piecewise linear function where the slope and direction change at \( x = 2 \).
Transcribed Image Text:The graph below is the function \( f(x) \). ### Description of the Graph: - The graph is plotted on a coordinate plane with \( x \)-axis ranging from -5 to 5 and \( y \)-axis ranging from -5 to 5. - There is a line segment that slopes downward from the point (-5, 5) to the point (2, -3). - At \( x = 2 \), there is a sharp change in the graph's direction, creating a vertex at the point (2, -3). - From the point (2, -3), another line segment slopes upward to the right, passing through points like (3, -2) and (5, 0). ### Mathematical Details: - The limit of \( f(x) \) as \( x \) approaches 2 is indicated, with a blank box for the value. - The value of \( f(2) \) is also requested, with a blank box for the value. ### Tasks: - Determine the limit of \( f(x) \) as \( x \rightarrow 2 \). - Calculate the value of \( f(2) \). This graph represents a piecewise linear function where the slope and direction change at \( x = 2 \).
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