x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique asymptote of the graph of the function? b. Where does the graph of the function intersect its asymptote? c. As x→∞o, does the graph of the function approach its asymptote from above or below? becomes f(x)=x+2+ above below a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation of the oblique asymptote is y= O B. There is no oblique asymptote. b. The graph of the function intersects its asymptote at x = (Use a comma to separate answers as needed.) c. Does the graph of the function approach its asymptote from above or below as x→∞o? x²-2x x+2
x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique asymptote of the graph of the function? b. Where does the graph of the function intersect its asymptote? c. As x→∞o, does the graph of the function approach its asymptote from above or below? becomes f(x)=x+2+ above below a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The equation of the oblique asymptote is y= O B. There is no oblique asymptote. b. The graph of the function intersects its asymptote at x = (Use a comma to separate answers as needed.) c. Does the graph of the function approach its asymptote from above or below as x→∞o? x²-2x x+2
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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![After the numerator is divided by the denominator, \( f(x) = \frac{x^5 + 2x^4 + x^2 + 4}{x^4 + 2} \) becomes \( f(x) = x + 2 + \frac{x^2 - 2x}{x^4 + 2} \).
**Questions:**
a. What is the oblique asymptote of the graph of the function?
b. Where does the graph of the function intersect its asymptote?
c. As \( x \to \infty \), does the graph of the function approach its asymptote from above or below?
---
**Multiple Choice and Responses:**
a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- ○ A. The equation of the oblique asymptote is \( y = \) [Blank].
- ○ B. There is no oblique asymptote.
b. The graph of the function intersects its asymptote at \( x = \) [Blank]. (Use a comma to separate answers as needed.)
c. Does the graph of the function approach its asymptote from above or below as \( x \to \infty \)?
- ○ above
- ○ below](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23621d6b-2b05-47f2-88de-4fbc9fed744d%2Ff147feb3-1b6a-4cc4-8ee2-2756a8d12bf0%2Fwaccnwd_processed.png&w=3840&q=75)
Transcribed Image Text:After the numerator is divided by the denominator, \( f(x) = \frac{x^5 + 2x^4 + x^2 + 4}{x^4 + 2} \) becomes \( f(x) = x + 2 + \frac{x^2 - 2x}{x^4 + 2} \).
**Questions:**
a. What is the oblique asymptote of the graph of the function?
b. Where does the graph of the function intersect its asymptote?
c. As \( x \to \infty \), does the graph of the function approach its asymptote from above or below?
---
**Multiple Choice and Responses:**
a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- ○ A. The equation of the oblique asymptote is \( y = \) [Blank].
- ○ B. There is no oblique asymptote.
b. The graph of the function intersects its asymptote at \( x = \) [Blank]. (Use a comma to separate answers as needed.)
c. Does the graph of the function approach its asymptote from above or below as \( x \to \infty \)?
- ○ above
- ○ below
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