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• For the graph of the piecewise function f(x) shown below, determine the values of the left- sided, right-sided, and two-sided limits at x = -1, x = 2, and x = 3 if they exist. If they do not exist, explain why. Additionally, determine if the function has one or more horizontal asymptotes. -5- -5- • Now use the equation of the above piecewise graph to verify each of the limits you found graphically, explaining how you find each algebraically. 1 x < -1 x+1 > -a2 + 4, -1 < x < 2 f(x) = 2 < x < 3 -글x +3, z>3 x > 3

• For the graph of the piecewise function f(x) shown below, determine the values of the left- sided, right-sided, and two-sided limits at x = -1, x = 2, and x = 3 if they exist. If they do not exist, explain why. Additionally, determine if the function has one or more horizontal asymptotes. -5- -5- • Now use the equation of the above piecewise graph to verify each of the limits you found graphically, explaining how you find each algebraically. 1 x < -1 x+1 > -a2 + 4, -1 < x < 2 f(x) = 2 < x < 3 -글x +3, z>3 x > 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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• For the graph of the piecewise function f(x) shown below, determine the values of the left- sided, right-sided, and two-sided limits at x = -1, x = 2, and x = 3 if they exist. If they do not exist, explain why. Additionally, determine if the function has one or more horizontal asymptotes. -5- -5- • Now use the equation of the above piecewise graph to verify each of the limits you found graphically, explaining how you find each algebraically. 1 x < -1 x+1 ? -1 < x < 2 2 < x < 3 -x² + 4, f(x) = -x + 3, x > 3
Transcribed Image Text:• For the graph of the piecewise function f(x) shown below, determine the values of the left- sided, right-sided, and two-sided limits at x = -1, x = 2, and x = 3 if they exist. If they do not exist, explain why. Additionally, determine if the function has one or more horizontal asymptotes. -5- -5- • Now use the equation of the above piecewise graph to verify each of the limits you found graphically, explaining how you find each algebraically. 1 x < -1 x+1 ? -1 < x < 2 2 < x < 3 -x² + 4, f(x) = -x + 3, x > 3
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