Consider the following function and its graph. 2(x + 1) (x + 6) F(x) (x – 5)*(x + 2)? 30 20 10 -10 10 20 Use the graph to determine the following, as vwell as you can. Check your conclusions by using the function to determine items (a)-(d) analytically. (a) vertical asymptotes (Enter your answers as a comma-separated list of equations.) (b) lim f(x) (c) lim f(x) (d) horizontal asymptotes (Enter your answers as a comma-separated list of equations.)

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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Consider the following function and its graph.
2(x + 1) (x + 6)
f(x) =
(x - 5) (x+ 2)²
30
20
10
- 10
10
20
Use the graph to determine the following, as well as you can. Check your conclusions by using the function to determine items (a)-(d) analytically.
(a)
vertical asymptotes (Enter your answers as a comma-separated list of equations.)
(ь)
lim f(x)
(c)
lim f(x)
(d)
horizontal asymptotes (Enter your answers as a comma-separated list of equations.)
Transcribed Image Text:Consider the following function and its graph. 2(x + 1) (x + 6) f(x) = (x - 5) (x+ 2)² 30 20 10 - 10 10 20 Use the graph to determine the following, as well as you can. Check your conclusions by using the function to determine items (a)-(d) analytically. (a) vertical asymptotes (Enter your answers as a comma-separated list of equations.) (ь) lim f(x) (c) lim f(x) (d) horizontal asymptotes (Enter your answers as a comma-separated list of equations.)
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