Consider the follo y = (x + 8) (x + 3)/(x - 1)² (a) Find the domain, x- and y-intercepts, vertical asymptote, and horizontal asymptote for the rational function. (If an answer does not exist, enter DNE.) Domain: O (-∞, ∞) (-0, 1) U (1, 0) O (-∞, 1) O (-00, 3) U (8,00) O (3, 0) x-intercepts y-intercept vertical asymptote horizontal asymptote (x, y) = (x, y) = (x, y) = -20 -8,0 -10 -3,0 0,24 x=0 y=0 (smaller x-value) ✔ ) (larger x-value) (b) Use graphing utility to graph the function. Check to see that the graph is consistent with your results in part (a). 10 X x 20 -10 20 10 10
Consider the follo y = (x + 8) (x + 3)/(x - 1)² (a) Find the domain, x- and y-intercepts, vertical asymptote, and horizontal asymptote for the rational function. (If an answer does not exist, enter DNE.) Domain: O (-∞, ∞) (-0, 1) U (1, 0) O (-∞, 1) O (-00, 3) U (8,00) O (3, 0) x-intercepts y-intercept vertical asymptote horizontal asymptote (x, y) = (x, y) = (x, y) = -20 -8,0 -10 -3,0 0,24 x=0 y=0 (smaller x-value) ✔ ) (larger x-value) (b) Use graphing utility to graph the function. Check to see that the graph is consistent with your results in part (a). 10 X x 20 -10 20 10 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help me find the vertical and horizontal asymptotes (answers are not DNE for either).
Transcribed Image Text:Consider the following.
y = (x + 8) (x + 3)/(x - 1)²
(a) Find the domain, x- and y-intercepts, vertical asymptote, and horizontal asymptote for the rational function. (If an answer does not exist, enter DNE.)
Domain:
O (-∞, 8)
(-∞, 1) U (1, 0)
O (-∞, 1)
O (-0, 3) U (8,00)
O (3,00)
x-intercepts
y-intercept
vertical asymptote
horizontal asymptote
(x, y) = (-8,0
¯(x, y) = (1
-3,0
(x, y) = (0,24
x=0
-20
y = 0
-10
20
10
-)
(b) Use a graphing utility to graph the function. Check to see that the graph is consistent with your results in part (a).
y
10
;)
X
(smaller x-value)
) (larger x-value)
X
20
-20
-10
y
20
10
10
20
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