Determine the end behavior of each function. (a) p(x) = a(x + b)5(x - c)³, where a, b, and c are constants and a < 0 p(x) → p(x) (b) f(x) f(x) (c) g(x) →>> g(x) f(x) = = as x8 g(x) = 7 + e-2x as x → ∞0 7x² - 9x + 2 6x² - 2 as x-00 as x → ∞0 as x8 as 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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Determine the end behavior of each function.
(a) p(x) = a(x + b)5(x - c)³, where a, b, and c are constants and a < 0.
p(x) →
p(x)
(b)
f(x)
f(x)
(c)
g(x)
g(x)
→>>
f(x) =
=
as x8
g(x) = 7 + e-2x
as x → ∞0
7x² - 9x + 2
6x² - 2
as x-00
as x → ∞0
as x8
as x → ∞o
Transcribed Image Text:Determine the end behavior of each function. (a) p(x) = a(x + b)5(x - c)³, where a, b, and c are constants and a < 0. p(x) → p(x) (b) f(x) f(x) (c) g(x) g(x) →>> f(x) = = as x8 g(x) = 7 + e-2x as x → ∞0 7x² - 9x + 2 6x² - 2 as x-00 as x → ∞0 as x8 as x → ∞o
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