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1. Find the vertical asymptotoes, horizontal asymptotes, and holes, if any, of the rational functions. If none, write "none." 3x + 5 (a) f(x) %3D x - 6 i. Give the domain of f(x). Domain: ii. Find any vertical asymptotes of f(x). iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) =

1. Find the vertical asymptotoes, horizontal asymptotes, and holes, if any, of the rational functions. If none, write "none." 3x + 5 (a) f(x) %3D x - 6 i. Give the domain of f(x). Domain: ii. Find any vertical asymptotes of f(x). iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) =

Calculus: Early Transcendentals
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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1. Find the vertical asymptotoes, horizontal asymptotes, and holes, if any, of the rational functions. If none, write "none." 3x + 5 (a) f(x) = x- 6 i. Give the domain of f(r). Domain: ii. Find any vertical asymptotes of f(x). iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) = x2 + 6x + 5 (b) f(x) x2 + 3x + 2 i. Give the domain of f(x). Domain: ii. Find any vertical asymptotes of f(x). Hint: factor f(x). x = iii. Find any horizontal asymptotes of f(x), if any. y = iv. Find any holes of f(x). If any, give as a point. (x, y) = 4.r(x – 2)(x + 3) (r – 2)(r + 6) i. Give the domain of f(x). (c) f(x) = Domain: ii. Find any vertical asymptotes of f(x). x = iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) =
Transcribed Image Text:1. Find the vertical asymptotoes, horizontal asymptotes, and holes, if any, of the rational functions. If none, write "none." 3x + 5 (a) f(x) = x- 6 i. Give the domain of f(r). Domain: ii. Find any vertical asymptotes of f(x). iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) = x2 + 6x + 5 (b) f(x) x2 + 3x + 2 i. Give the domain of f(x). Domain: ii. Find any vertical asymptotes of f(x). Hint: factor f(x). x = iii. Find any horizontal asymptotes of f(x), if any. y = iv. Find any holes of f(x). If any, give as a point. (x, y) = 4.r(x – 2)(x + 3) (r – 2)(r + 6) i. Give the domain of f(x). (c) f(x) = Domain: ii. Find any vertical asymptotes of f(x). x = iii. Find any horizontal asymptotes of f(x). y = iv. Find any holes of f(x). If any, give as a point. (x, y) =
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