iv. g(0) Preview %3| lim g(x) Preview V. a-1 vi. lim g(x) : 2-1+ Preview

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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Iv v vi only 

Determine the behavior of the functions defined below. Note that it is common to write "g(x) → ∞" to indicate
g(x) 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)
- 5x° + 5x? + 8. Complete the following statements.
i. lim g(x) =
Preview
x→0°
ii. lim g(x)
Preview
x→0+
iii. lim g(x) =(
Preview
x→0
iv. g(0)
Preview
lim g(x)
Preview
V.
x→-1¯
vi.
lim g(x)
Preview
x→-1
vii. lim g(x)
Preview
x→-1
viii. g( – 1) =
Preview
ix. lim g(x) =
Preview
x→00
lim g(x)
Preview
Х.
x→-00
b. Based on your work in part a, on what interval(s) is g(x) continuous?
Preview
Write your answer in interval notation. If you include multiple intervals, use u to denote union.
Transcribed Image Text:Determine the behavior of the functions defined below. Note that it is common to write "g(x) → ∞" to indicate g(x) 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) - 5x° + 5x? + 8. Complete the following statements. i. lim g(x) = Preview x→0° ii. lim g(x) Preview x→0+ iii. lim g(x) =( Preview x→0 iv. g(0) Preview lim g(x) Preview V. x→-1¯ vi. lim g(x) Preview x→-1 vii. lim g(x) Preview x→-1 viii. g( – 1) = Preview ix. lim g(x) = Preview x→00 lim g(x) Preview Х. x→-00 b. Based on your work in part a, on what interval(s) is g(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
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