Determine the behavior of the functions defined below. Note that it is common to write "f(x) → o" to indicate f(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. %3D 8x3 + 5x a. Consider f(x) = Complete the following equations. ? — 12я i. lim f(x) = Preview г>0 ii. lim f(x) : Preview iii. lim f(x) =[ Preview х0 iv. f(0) Preview = DNE v. lim f(x) =-00 Preview x→12 vi. lim f(x) =00 Preview x→12+ vii. lim f(x) Preview = DNE x→12 viii. f(12) = Preview DNE ix. lim f(x) =00 Preview хоо x. lim f(x) =l-00 х —>— 00 Preview b. Based on your work in part a, on what interval(s) is f(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.

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 "f(x) → o" to indicate f(x) increases without bound -
use that notation below if needed. If a limit does not exist or the function is undefined, write DNE.
%3D
8x3 + 5x
a. Consider f(x) =
Complete the following equations.
? — 12я
i. lim f(x) =
Preview
г>0
ii. lim f(x) :
Preview
iii. lim f(x) =[
Preview
х0
iv. f(0)
Preview
= DNE
v. lim f(x) =-00
Preview
x→12
vi. lim f(x) =00
Preview
x→12+
vii. lim f(x)
Preview
= DNE
x→12
viii. f(12) =
Preview
DNE
ix. lim f(x) =00
Preview
хоо
x. lim f(x) =l-00
х —>— 00
Preview
b. Based on your work in part a, on what interval(s) is f(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 "f(x) → o" to indicate f(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. %3D 8x3 + 5x a. Consider f(x) = Complete the following equations. ? — 12я i. lim f(x) = Preview г>0 ii. lim f(x) : Preview iii. lim f(x) =[ Preview х0 iv. f(0) Preview = DNE v. lim f(x) =-00 Preview x→12 vi. lim f(x) =00 Preview x→12+ vii. lim f(x) Preview = DNE x→12 viii. f(12) = Preview DNE ix. lim f(x) =00 Preview хоо x. lim f(x) =l-00 х —>— 00 Preview b. Based on your work in part a, on what interval(s) is f(x) continuous? Preview Write your answer in interval notation. If you include multiple intervals, use u to denote union.
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