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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= =

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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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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