4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimates the behavior of 4x + 7x + 16 as x → + o0? Preview b. What monomial expression best estimates the behavior of 6x? - 11 as x – £oo? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 4x4 + 7x + 16 as x → t o. Simplify your answer as much as possible. 6x2 – 11 Preview d. Based on your answer to part (c), what happens to the value of f(x) as x → t o0? (Hint: now your answer should b 00, -0, or "DNE".) As x → +∞, f(x) Preview e. Based on your answer to part (d), what is the horizontal asymptote of f? If no horizontal asymptote exists for f, enter y = Preview Submit
4x4 + 7x + 16 Consider the rational function f(x) 6x2 – 11 a. What monomial expression best estimates the behavior of 4x + 7x + 16 as x → + o0? Preview b. What monomial expression best estimates the behavior of 6x? - 11 as x – £oo? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 4x4 + 7x + 16 as x → t o. Simplify your answer as much as possible. 6x2 – 11 Preview d. Based on your answer to part (c), what happens to the value of f(x) as x → t o0? (Hint: now your answer should b 00, -0, or "DNE".) As x → +∞, f(x) Preview e. Based on your answer to part (d), what is the horizontal asymptote of f? If no horizontal asymptote exists for f, enter y = Preview Submit
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.7: Rational Expressions
Problem 99E
Related questions
Question
Transcribed Image Text:4x4 + 7x + 16
Consider the rational function f(x)
6x2 – 11
a. What monomial expression best estimates the behavior of 4x* + 7x + 16 as x → ±∞?
Preview
b. What monomial expression best estimates the behavior of 6x2
- 11 as x → £∞?
Preview
c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of
4x4
+ 7x + 16
as x → ± o. Simplify your answer as much as possible.
6x2
11
Preview
d. Based on your answer to part (c), what happens to the value of f(x) as x → ± o0? (Hint: now your answer should be a number,
00, - 0, or "DNE".)
As x → + ∞, f(x) →
Preview
e. Based on your answer to part (d), what is the horizontal asymptote of f? If no horizontal asymptote exists for f, enter "DNE".
y =
Submit
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