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3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a

3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a

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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3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1<x<1 2 for x = 1 4-x for x > 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a
Transcribed Image Text:3(x+2)+2 for 3< x < −2 (x+2)+1 for 2x < −1 f(x) = (x+2)+1 for 1<x<1 2 for x = 1 4-x for x > 1 Use the given formula to answer the following questions. (a) For each of the values a = -2, -1, 0, 1, 2, compute f(a). (b) For each of the values a = −2, −1, 0, 1, 2, determine lima¯f(x) and limx→>a+f(x). (c) For each of the values a = -2, -1, 0, 1, 2, determine lima f(x). If the limit fails to exist, explain why by discussing the left- and right-hand limits the relevant a-value. (d) For which values of a is the following statement true? lim f(x) f(a) x-a
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