Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2 if"(x) = (х + 2)3 ;f"(x) = Find the domain of f(x) and the intercepts of f(x). b. Show that x = -2 and y = x - 8 are the asymptotes of f(x) using limits. Determine the critical numbers of f(x) and the possible points of inflection of f(x). а.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 43E
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Item 1.
Consider the given:
x³ – 4x2
8(7x – 4)
(x + 2)4
х(х + 8)(х — 2)
f(x) =
(x + 2)2 .
(x + 2)2 if"(x) =
(х + 2)3
;f"(x) =
Find the domain of f(x) and the intercepts of f(x).
b. Show that x = -2 and y = x - 8 are the asymptotes of f(x) using limits.
Determine the critical numbers of f(x) and the possible points of inflection of f(x).
а.
Transcribed Image Text:Item 1. Consider the given: x³ – 4x2 8(7x – 4) (x + 2)4 х(х + 8)(х — 2) f(x) = (x + 2)2 . (x + 2)2 if"(x) = (х + 2)3 ;f"(x) = Find the domain of f(x) and the intercepts of f(x). b. Show that x = -2 and y = x - 8 are the asymptotes of f(x) using limits. Determine the critical numbers of f(x) and the possible points of inflection of f(x). а.
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