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Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo" to indicate g(z) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. a. Consider g(x) = 10x³ +52 +5. Complete the following statements. - i. lim g(x) = | Preview T-0 ii. lim g(x): Preview T-0 iii. lim g(x) = 2-0 iv. g(0) = Preview Preview

Determine the behavior of the functions defined below. Note that it is common to write "g(z) → oo" to indicate g(z) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. a. Consider g(x) = 10x³ +52 +5. Complete the following statements. - i. lim g(x) = | Preview T-0 ii. lim g(x): Preview T-0 iii. lim g(x) = 2-0 iv. g(0) = Preview Preview

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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Determine the behavior of the functions defined below. Note that it is common to write "g(2)→ ∞o" to indicate g() increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. a. Consider g(x) = 10x³ +5² +5. Complete the following statements. 2 Preview 76 Preview Preview i. lim g(x) = ii. lim g(x) = iii. lim g(x) = 2-0 iv. g(0) = v. lim g(x) = 1 vi. lim g(x) = 1 vii. lim g(x) = viii. g(-1) = ix. lim g(x) TELEPO Preview x. lim g(x) = *--00 b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. -3 Box 12 Enter your answer as a number (like 53 22172) or as a calculation (like 5/3 243 5+4) Preview Preview Preview Preview Preview Preview Preview FO
Transcribed Image Text:Determine the behavior of the functions defined below. Note that it is common to write "g(2)→ ∞o" to indicate g() increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. a. Consider g(x) = 10x³ +5² +5. Complete the following statements. 2 Preview 76 Preview Preview i. lim g(x) = ii. lim g(x) = iii. lim g(x) = 2-0 iv. g(0) = v. lim g(x) = 1 vi. lim g(x) = 1 vii. lim g(x) = viii. g(-1) = ix. lim g(x) TELEPO Preview x. lim g(x) = *--00 b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. -3 Box 12 Enter your answer as a number (like 53 22172) or as a calculation (like 5/3 243 5+4) Preview Preview Preview Preview Preview Preview Preview FO
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v. lim g(x) = vi. lim g(x) = --1 vii. lim g(x) = I--1 viii. g( − 1) = Preview Preview Preview Preview 5 = 5. Preview Preview ix. lim g(x) = 1-00 x. lim_g(x) Preview T-S-PO b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity R G Box 2: Enter your answer as a number (like 5. -3. 2.2172) or as a calculation (like 5/3. 243 5+4)
Transcribed Image Text:v. lim g(x) = vi. lim g(x) = --1 vii. lim g(x) = I--1 viii. g( − 1) = Preview Preview Preview Preview 5 = 5. Preview Preview ix. lim g(x) = 1-00 x. lim_g(x) Preview T-S-PO b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity R G Box 2: Enter your answer as a number (like 5. -3. 2.2172) or as a calculation (like 5/3. 243 5+4)
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ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN viii. g(1) Preview 5 = 5. Preview 5 = 5. 55. Preview Preview Preview Preview Preview Preview ix. lim g(x) 200 x. lim g(x) Preview b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2/3, 5+4) Erter DNF for Does Not Exist on for Infinity G ▸ Preview
Transcribed Image Text:ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN viii. g(1) Preview 5 = 5. Preview 5 = 5. 55. Preview Preview Preview Preview Preview Preview ix. lim g(x) 200 x. lim g(x) Preview b. Based on your work in part a, on what interval(s) is g(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2/3, 5+4) Erter DNF for Does Not Exist on for Infinity G ▸ Preview
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