Investigate the asymptotic behavior of ?(?)=4?2?2+1 numerically, computing the values of the function for ?=±50, ±100, ±500, and ±1000. (Use decimal notation. Give your answers to six decimal places.)?(−50)= ?(50)= ?(−100)= ?(100)= ?(−500)= ?(500)= ?(−1000)= ?(1000)= Graph ?(?) using the graphing utility.?(?)= What are the horizontal asymptotes of ?? (Give your answer as a comma‑separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed.)horizontal asymptote(s): 2 of 19 >f(-500)=f(500)=f(-1000) =f(1000) =Graph f(x) using the graphing utility.f(x) =Question Source: Rogawski 4e Calculus Early Transcendentals Publisher: W.H. Fr f(-50)=Investigate the asymptotic behavior of f(x) =+500, and ±1000.(Use decimal notation. Give your answers to six decimal places.)f(50) =f(-100) =4x²x² +1f(100) =numerically, computing the values of the function for x = ±50, ±100,Question Source: Rogawski 4e Calculus Early Transcendentals | Publisher: W.H. Fre

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Answered: Investigate the asymptotic behavior of…

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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Investigate the asymptotic behavior of ?(?)=4?2?2+1 numerically, computing the values of the function for ?=±50, ±100, ±500, and ±1000. (Use decimal notation. Give your answers to six decimal places.) ?(−50)= ?(50)= ?(−100)= ?(100)= ?(−500)= ?(500)= ?(−1000)= ?(1000)= Graph ?(?) using the graphing utility. ?(?)= What are the horizontal asymptotes of ?? (Give your answer as a comma‑separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed.) horizontal asymptote(s):

f(-50)=
Investigate the asymptotic behavior of f(x) =
+500, and ±1000.
(Use decimal notation. Give your answers to six decimal places.)
f(50) =
f(-100) =
4x²
x² +1
f(100) =
numerically, computing the values of the function for x = ±50, ±100,
Question Source: Rogawski 4e Calculus Early Transcendentals | Publisher: W.H. Fre

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Follow-up Question

Investigate the limit numerically and graphically.

lim?→±∞8?+14?2+9‾‾‾‾‾‾‾‾√limx→±∞8x+14x2+9

Calculate the values of ?(?)=8?+14?2+9‾‾‾‾‾‾‾‾√f(x)=8x+14x2+9 for ?=±100,x=±100, ±500,±500, ±1000,±1000, and ±10000.and ±10000.

(Use decimal notation. Give your answers to six decimal places.)

?(−100)=f(−100)=

?(−500)=f(−500)=

?(−1000)=f(−1000)=

?(−10000)=f(−10000)=

?(100)=f(100)=

?(500)=f(500)=

?(1000)=f(1000)=

?(10000)=f(10000)=

Graph ?(?)f(x) using the graphing utility.

?(?)=f(x)=

8x+1√4x2+9

What are the horizontal asymptotes of ??of f?

(Give your answer as a comma‑separated list of equations. Express numbers in exact form. Use symbolic notation and fractions where needed.)

horizontal asymptote(s):

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Investigate the limit numerically and graphically.
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(Use decimal notation. Give your answers to six decimal places.)
Calculate the values of f(x) =
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f(-1000) =
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Question Source: Rogawski 4e Calculus Eam
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Follow-up Question

Investigate the asymptotic behavior of ?(?)=4?2?2+1f(x)=4x2x2+1 numerically, computing the values of the function for ?=±50,x=±50, ±100,±100, ±500,±500, and ±1000.and ±1000.

(Use decimal notation. Give your answers to six decimal places.)