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2x + 9x + 18 Consider the rational function f(x) 7x2 – 11 a. What monomial expression best estimates the behavior of 2x + 9x + 18 as a + oo? Preview b. What monomial expression best estimates the behavior of 7x2 – 11 as x – too? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the 2x + 9x + 18 behavior of as x → +o. Simplify your answer as much as possible. 7x2 – 11 Preview

2x + 9x + 18 Consider the rational function f(x) 7x2 – 11 a. What monomial expression best estimates the behavior of 2x + 9x + 18 as a + oo? Preview b. What monomial expression best estimates the behavior of 7x2 – 11 as x – too? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the 2x + 9x + 18 behavior of as x → +o. Simplify your answer as much as possible. 7x2 – 11 Preview

Calculus: Early Transcendentals
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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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
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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