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Graph A Graph B 1.e 1.0 lim f(x) I-3 lim f(r) I-3 Graph C Graph D lim f(x) lim f(x) = I-3 I-3

Graph A Graph B 1.e 1.0 lim f(x) I-3 lim f(r) I-3 Graph C Graph D lim f(x) lim f(x) = I-3 I-3

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 image presents four distinct graphs labeled A, B, C, and D. **Graph A:** - Features a piecewise linear function with a discontinuity at \( x = 3 \). - As \( x \) approaches 3 from the left, the graph appears to descend towards the point with a missing value represented by an open circle. - The horizontal axis (x-axis) ranges from approximately -5 to 5, and the vertical axis (y-axis) ranges similarly. - The limit of \( f(x) \) as \( x \) approaches 3 from the graph is to be determined and filled in the provided box: \(\lim_{x \to 3} f(x) = \). **Graph B:** - Depicts another piecewise function with a sharp turn at \( x = 3 \). - As \( x \) approaches 3, the function seems to have a jump discontinuity, with two distinct y-values at this point: an upper value assigned to the left approach and a lower value to the right. - The limit of \( f(x) \) as \( x \) approaches 3 is to be calculated and filled in the empty box: \(\lim_{x \to 3} f(x) = \). **Graph C:** - A piecewise linear graph with an apparent gap at \( x = 3 \). - The left-hand limit and right-hand approach to this x-value suggest differing endpoint values, indicated by open circles. - The limit of \( f(x) \) as \( x \) approaches 3 here is to be solved and noted in the blank space: \(\lim_{x \to 3} f(x) = \). **Graph D:** - Presents a piecewise function, similar to the others, with an evident step or change at \( x = 3 \). - Both sides of \( x = 3 \) appear to join smoothly indicating a possible value at this point. - The observer is tasked to deduce and write the limit of \( f(x) \) as \( x \) approaches 3 in the provided space: \(\lim_{x \to 3} f(x) = \). Each graph includes essential components for visualizing and determining the limit of \( f(x) \) as \( x \) nears the point of interest, making them valuable educational tools for exploring continuity and limits in functions.
Transcribed Image Text:The image presents four distinct graphs labeled A, B, C, and D. **Graph A:** - Features a piecewise linear function with a discontinuity at \( x = 3 \). - As \( x \) approaches 3 from the left, the graph appears to descend towards the point with a missing value represented by an open circle. - The horizontal axis (x-axis) ranges from approximately -5 to 5, and the vertical axis (y-axis) ranges similarly. - The limit of \( f(x) \) as \( x \) approaches 3 from the graph is to be determined and filled in the provided box: \(\lim_{x \to 3} f(x) = \). **Graph B:** - Depicts another piecewise function with a sharp turn at \( x = 3 \). - As \( x \) approaches 3, the function seems to have a jump discontinuity, with two distinct y-values at this point: an upper value assigned to the left approach and a lower value to the right. - The limit of \( f(x) \) as \( x \) approaches 3 is to be calculated and filled in the empty box: \(\lim_{x \to 3} f(x) = \). **Graph C:** - A piecewise linear graph with an apparent gap at \( x = 3 \). - The left-hand limit and right-hand approach to this x-value suggest differing endpoint values, indicated by open circles. - The limit of \( f(x) \) as \( x \) approaches 3 here is to be solved and noted in the blank space: \(\lim_{x \to 3} f(x) = \). **Graph D:** - Presents a piecewise function, similar to the others, with an evident step or change at \( x = 3 \). - Both sides of \( x = 3 \) appear to join smoothly indicating a possible value at this point. - The observer is tasked to deduce and write the limit of \( f(x) \) as \( x \) approaches 3 in the provided space: \(\lim_{x \to 3} f(x) = \). Each graph includes essential components for visualizing and determining the limit of \( f(x) \) as \( x \) nears the point of interest, making them valuable educational tools for exploring continuity and limits in functions.
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