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Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 4x³ + 9x² a. Consider h(z) - x³ + 8x i. For what value(s) of x is h(z) undefined? = Preview ii. For what value(s) of a does h(x) have a vertical asymptote? Preview x= iii. For what value(s) of a does h(x) have a hole? Preview x= =

Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 4x³ + 9x² a. Consider h(z) - x³ + 8x i. For what value(s) of x is h(z) undefined? = Preview ii. For what value(s) of a does h(x) have a vertical asymptote? Preview x= iii. For what value(s) of a does h(x) have a hole? Preview x= =

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. If a limit does not exist or the function is undefined, write DNE. 4³ +9r² a. Consider h(z) T³ + 8x i. For what value(s) of az is h(x) undefined? Preview ii. For what value(s) of a does h(z) have a vertical asymptote? @= Preview iii. For what value(s) of a does h(x) have a hole? Preview iv. lim h(x) = T-0 v. lim h(x) = TODO vi. lim h(x) = Preview 20 Preview b. Based on your work in part a, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. 7 N 7 Preview Preview
Transcribed Image Text:Determine the behavior of the functions defined below. If a limit does not exist or the function is undefined, write DNE. 4³ +9r² a. Consider h(z) T³ + 8x i. For what value(s) of az is h(x) undefined? Preview ii. For what value(s) of a does h(z) have a vertical asymptote? @= Preview iii. For what value(s) of a does h(x) have a hole? Preview iv. lim h(x) = T-0 v. lim h(x) = TODO vi. lim h(x) = Preview 20 Preview b. Based on your work in part a, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. 7 N 7 Preview Preview
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ii. For what value(s) of a does h(z) have a vertical asymptote? x = -sqrt(8),sqrt(8) Preview iii. For what value(s) of z does h(z) have a hole? Preview DECODECOODDECODECODE iv. lim h(x) = 3-0 v. lim h(z) = XXXXXXXXXXXX T:00 ODCDNONEDEXIO commcom Preview vi. lim h(z) 00 b. Based on your work in part a, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. TU G 31 TISIE xxxxECED ICOLEEOORDDECOcccccccc TECHDECOoocomerceExxxxxxOD Preview Preview Enter an interval using interval notation [more..] Pre
Transcribed Image Text:ii. For what value(s) of a does h(z) have a vertical asymptote? x = -sqrt(8),sqrt(8) Preview iii. For what value(s) of z does h(z) have a hole? Preview DECODECOODDECODECODE iv. lim h(x) = 3-0 v. lim h(z) = XXXXXXXXXXXX T:00 ODCDNONEDEXIO commcom Preview vi. lim h(z) 00 b. Based on your work in part a, on what interval(s) is h(x) continuous? Write your answer in interval notation. If you include multiple intervals, use u to denote union. TU G 31 TISIE xxxxECED ICOLEEOORDDECOcccccccc TECHDECOoocomerceExxxxxxOD Preview Preview Enter an interval using interval notation [more..] Pre
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