- I - ) Let r(x) : 12 + 4x + 3 a) Describe the long-run behavior or r(x), and give any horizontal asymptotes of r(x). Enter NONE in the blanks provided if there are no horizontal asymptotes. OA. As z goes to both positive and negative infinity, r(x) goes to 1 B. As a goes to both positive and negative infinity, r(x) goes to positive infinity OC. As a goes to both positive and negative infinity, r(x) goes to 0 D. As a goes to both positive and negative infinity, r(x) goes to negative infinity OE. As z goes to positive infinity, r(x) goes to positive infinity, and as a goes to negative infinity, r(x) goes to negative infinity b) What are the zeros of r(x)? Enter NONE in any remaining blanks. Determine whether r(x) has vertical asymptotes. List them. Enter NONE in any remaining blanks. ? d) Does r(x) have a hole in its graph? If so, find the coordinates of the hole. Otherwise, enter NONE in the blanks provided.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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- I -
) Let r(x) :
12 + 4x + 3
a) Describe the long-run behavior or r(x), and give any horizontal asymptotes of r(x). Enter NONE in the blanks provided if there are no horizontal asymptotes.
OA. As z goes to both positive and negative infinity, r(x) goes to 1
B. As a goes to both positive and negative infinity, r(x) goes to positive infinity
OC. As a goes to both positive and negative infinity, r(x) goes to 0
D. As a goes to both positive and negative infinity, r(x) goes to negative infinity
OE. As z goes to positive infinity, r(x) goes to positive infinity, and as a goes to negative infinity, r(x) goes to negative infinity
b) What are the zeros of r(x)? Enter NONE in any remaining blanks.
Determine whether r(x) has vertical asymptotes. List them. Enter NONE in any remaining blanks.
?
d) Does r(x) have a hole in its graph? If so, find the coordinates of the hole. Otherwise, enter NONE in the blanks provided.
Transcribed Image Text:- I - ) Let r(x) : 12 + 4x + 3 a) Describe the long-run behavior or r(x), and give any horizontal asymptotes of r(x). Enter NONE in the blanks provided if there are no horizontal asymptotes. OA. As z goes to both positive and negative infinity, r(x) goes to 1 B. As a goes to both positive and negative infinity, r(x) goes to positive infinity OC. As a goes to both positive and negative infinity, r(x) goes to 0 D. As a goes to both positive and negative infinity, r(x) goes to negative infinity OE. As z goes to positive infinity, r(x) goes to positive infinity, and as a goes to negative infinity, r(x) goes to negative infinity b) What are the zeros of r(x)? Enter NONE in any remaining blanks. Determine whether r(x) has vertical asymptotes. List them. Enter NONE in any remaining blanks. ? d) Does r(x) have a hole in its graph? If so, find the coordinates of the hole. Otherwise, enter NONE in the blanks provided.
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