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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, oo, –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 = 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, oo, –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 = 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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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, o, - 0, or "DNE".) As x → ± 0, 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: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, o, - 0, or "DNE".) As x → ± 0, 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
Consider the rational function x – 4 f(x) : x2 + 3x + 17 a. What monomial expression best estimates the behavior of x – 4 as x → ±0? Preview b. What monomial expression best estimates the behavior of x + 3x + 17 as x → ±∞? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 4 as x → ± o. Simplify x2 + 3x + 17 your answer as much as possible. Preview
Transcribed Image Text:Consider the rational function x – 4 f(x) : x2 + 3x + 17 a. What monomial expression best estimates the behavior of x – 4 as x → ±0? Preview b. What monomial expression best estimates the behavior of x + 3x + 17 as x → ±∞? Preview c. Using your results from parts (a) and (b), write a ratio of monomial expressions that best estimates the behavior of 4 as x → ± o. Simplify x2 + 3x + 17 your answer as much as possible. Preview
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