2x4 + 9x + 18 Consider the rational function f(x) 7x2 – 11 a. What monomial expression best estimates the behavior of 2x + 9x + 18 as x → + o0? Preview b. What monomial expression best estimates the behavior of 7x2 – 11 as x + oo? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the 2x4 + 9x + 18 behavior of as x → + 00. Simplify your answer as much as possible. 7x2 – 11 Preview d. Based on your answer to part (c), what happens to the value of f(x) as x ± oo? (Hint: now your answer should be a number, oo, - o, or "DNE".) As x → ± 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 enter "DNE". y = Preview
2x4 + 9x + 18 Consider the rational function f(x) 7x2 – 11 a. What monomial expression best estimates the behavior of 2x + 9x + 18 as x → + o0? Preview b. What monomial expression best estimates the behavior of 7x2 – 11 as x + oo? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the 2x4 + 9x + 18 behavior of as x → + 00. Simplify your answer as much as possible. 7x2 – 11 Preview d. Based on your answer to part (c), what happens to the value of f(x) as x ± oo? (Hint: now your answer should be a number, oo, - o, or "DNE".) As x → ± 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 enter "DNE". y = Preview
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
D E
Transcribed Image Text:2x4 + 9x + 18
Consider the rational function f(x)
7x2 – 11
a. What monomial expression best estimates the behavior of 2x* + 9x + 18 as x → ± ∞?
Preview
b. What monomial expression best estimates the behavior of 7x?
11 as x → ±∞?
Preview
c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the
2а4 + 9х + 18
behavior of
as x → ± 0. Simplify your answer as much as possible.
7x2
11
-
Preview
d. Based on your answer to part (c), what happens to the value of f(x) as x → ± 0? (Hint: now your answer
should be a number, ∞,
00, 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 =
Preview
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