Find the horizontal asymptote, if it exists, of the rational function below. If the function does not have a horizontal asymptote, enter NONE. (-9-x)(-3 - 4x) 6x² + 1 The horizontal asymptote has equation help (equations) g(x) =

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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Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the constant or the polynomial that the rational
function behaves like as x → ∞:
x4 7
x³ 7
, g(x)
x³ + 8
x³ +8
f(x) will behave like the function y=
g(x) will behave like the function y =
f(x)
=
=
I
and h(x)
h(x) will behave like the function y
=
=
x² 7
x³ +8
as →∞o. help (formulas)
as →∞. help (formulas)
as →→∞o. help (formulas)
Transcribed Image Text:Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the constant or the polynomial that the rational function behaves like as x → ∞: x4 7 x³ 7 , g(x) x³ + 8 x³ +8 f(x) will behave like the function y= g(x) will behave like the function y = f(x) = = I and h(x) h(x) will behave like the function y = = x² 7 x³ +8 as →∞o. help (formulas) as →∞. help (formulas) as →→∞o. help (formulas)
Find the horizontal asymptote, if it exists, of the rational function below. If the function does not have a horizontal asymptote, enter NONE.
(−9 − x) (−3 – 4x)
6x² + 1
g(x)
The horizontal asymptote has equation help (equations)
Transcribed Image Text:Find the horizontal asymptote, if it exists, of the rational function below. If the function does not have a horizontal asymptote, enter NONE. (−9 − x) (−3 – 4x) 6x² + 1 g(x) The horizontal asymptote has equation help (equations)
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