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)(c)g(x)f(x) 1→f(x) =1g(x) –X=g(x) = 5 + e-4x5x²7x + 24x² - 4→>>> ·∞XXas x8as x→ ∞as x-00as x → ∞as x-00as x→ ∞

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) → 1 g(x) f(x) = 1 (c) g(x) ∞ ∞ →>> ∞ = 5x²7x + 2 4x² - 4 g(x) = 5 + e-4x X X as x-00 as x→ ∞ as x-8 as x→ ∞ as x-00 as x→ ∞

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) → 1 g(x) f(x) = 1 (c) g(x) ∞ ∞ →>> ∞ = 5x²7x + 2 4x² - 4 g(x) = 5 + e-4x X X as x-00 as x→ ∞ as x-8 as x→ ∞ as x-00 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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Question

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)
(c)
g(x)
f(x) 1
→
f(x) =
1
g(x) –
X
=
g(x) = 5 + e-4x
5x²7x + 2
4x² - 4
→>>> ·∞
X
X
as x8
as x→ ∞
as x-00
as x → ∞
as x-00
as x→ ∞

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