7x + 19 Consider the rational function f(x) 2x – 14 a. What monomial expression best estimates the behavior of 7x + 19 as x + oo? Preview b. What monomial expression best estimates the behavior of 2x – 14 as x → + 0?

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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D E

7х + 19
Consider the rational function f(x)
2x
14
a. What monomial expression best estimates the behavior of 7x + 19 as x → ±o?
Preview
b. What monomial expression best estimates the behavior of 2x – 14 as x → ±∞?
Preview
c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the
7x + 19
behavior of
2x
as x → + o. Simplify your answer as much as possible.
14
Preview
d. Based on your answer to part (c), what happens to the value of f(x) as x → ±∞? (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
Transcribed Image Text:7х + 19 Consider the rational function f(x) 2x 14 a. What monomial expression best estimates the behavior of 7x + 19 as x → ±o? Preview b. What monomial expression best estimates the behavior of 2x – 14 as x → ±∞? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the 7x + 19 behavior of 2x as x → + o. Simplify your answer as much as possible. 14 Preview d. Based on your answer to part (c), what happens to the value of f(x) as x → ±∞? (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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