Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Related questions
Question
d and e pls
Transcribed Image Text:9:19 7
Consider the rational function
За^ + 8х + 19
f(x) :
8г? — 13
a. What monomial expression best estimates
the behavior of 3x* + 8x + 19 as
x → ± ∞?
Preview
b. What monomial expression best estimates
the behavior of 8x?
13 as x → ±∞?
-
Preview
c. Using your results from parts (a) and (b),
write a ratio of monomial expressions that
best estimates the behavior of
3x* + 8x + 19
as x → ± o. Simplify
8x2 – 13
-
your answer as much as possible.
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, – ∞, 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".
Preview
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