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Use this graph of y = f(x): -5 -4 -3 -2 -1 -0-* lim f(x) = *→0+ lim f(x)= = 3 07* 2. 18 -1 -2Q to evaluate each of the following: lim f(x) = -3- Fond 1 Or f(0) = Type DNE if the limit does not exist. N. 2 w. St 5

Use this graph of y = f(x): -5 -4 -3 -2 -1 -0-* lim f(x) = *→0+ lim f(x)= = 3 07* 2. 18 -1 -2Q to evaluate each of the following: lim f(x) = -3- Fond 1 Or f(0) = Type DNE if the limit does not exist. N. 2 w. St 5

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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This educational content shows a graph of the function \( y = f(x) \) and provides exercises for evaluating limits and the function value at zero. ### Graph Description: - The graph is plotted on a Cartesian plane ranging from -5 to 5 on the x-axis and -4 to 4 on the y-axis. - The function is piecewise linear with two distinct line segments: - **Segment 1**: A line with a negative slope extending from approximately \((-4, 4)\) to \((0, 2)\). There is an open circle at \((0, 2)\), indicating that the function does not include this point. - **Segment 2**: A line with a negative slope extending from an open circle at \((0, -2)\) to approximately \((4, -4)\). There is a closed circle at \((0, -2)\), signifying inclusion at this point. - A filled dot is present at \((1, 3)\) and a point at \((0, 1)\) indicating possible discontinuities or separate points of the function. ### Exercises: The exercises require evaluating the limits of the function as \( x \) approaches 0 from different directions and finding the function value at \( x = 0 \). 1. \(\lim_{{x \to 0^-}} f(x) = \) [Text Box] 2. \(\lim_{{x \to 0^+}} f(x) = \) [Text Box] 3. \(\lim_{{x \to 0}} f(x) = \) [Text Box] 4. \(f(0) = \) [Text Box] Note: Type "DNE" (Does Not Exist) if the limit does not exist.
Transcribed Image Text:This educational content shows a graph of the function \( y = f(x) \) and provides exercises for evaluating limits and the function value at zero. ### Graph Description: - The graph is plotted on a Cartesian plane ranging from -5 to 5 on the x-axis and -4 to 4 on the y-axis. - The function is piecewise linear with two distinct line segments: - **Segment 1**: A line with a negative slope extending from approximately \((-4, 4)\) to \((0, 2)\). There is an open circle at \((0, 2)\), indicating that the function does not include this point. - **Segment 2**: A line with a negative slope extending from an open circle at \((0, -2)\) to approximately \((4, -4)\). There is a closed circle at \((0, -2)\), signifying inclusion at this point. - A filled dot is present at \((1, 3)\) and a point at \((0, 1)\) indicating possible discontinuities or separate points of the function. ### Exercises: The exercises require evaluating the limits of the function as \( x \) approaches 0 from different directions and finding the function value at \( x = 0 \). 1. \(\lim_{{x \to 0^-}} f(x) = \) [Text Box] 2. \(\lim_{{x \to 0^+}} f(x) = \) [Text Box] 3. \(\lim_{{x \to 0}} f(x) = \) [Text Box] 4. \(f(0) = \) [Text Box] Note: Type "DNE" (Does Not Exist) if the limit does not exist.
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