For each of the following rational functions, determine the monomial function that best approximates the end behavior of the given function a Asztoo, the function f(z) 4z² +8 z-9 Preview syntax error *Try again. As z→ 100, how do the numerator and denominator of f behave? What does this tell us about how the ratio behaves? b. As a 2² +20z² +1 2²+6z-10 y= yo 100, the function f(a) y . . c. As z too, the function f(z) - behaves like Preview behaves like: 12z-20 Preview syntax error behaves like: syntax error

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each of the following rational functions, determine the monomial function that best approximates the end behavior of the given function
a Asztoo, the function f(z)
42² +8
2-9
y=
Preview syntax error
*Try again. As - 1:00, how do the numerator and denominator of f behave? What does this tell us about how the ratio behaves?
+202² +1
10
b. As a too, the function f(z)
M
1O
"
yw
.
c Asztoo, the function f(z) -
.
d. As z too, the function f(2)=
behaves like:
1TM
z²+ 6z
Preview
62²-4z
12z-20
behaves like:
syntax error
behaves like
Preview
52²-8a²+ 10z
2x² +10
Preview
syntax error
behaves like:
syntax error
Transcribed Image Text:For each of the following rational functions, determine the monomial function that best approximates the end behavior of the given function a Asztoo, the function f(z) 42² +8 2-9 y= Preview syntax error *Try again. As - 1:00, how do the numerator and denominator of f behave? What does this tell us about how the ratio behaves? +202² +1 10 b. As a too, the function f(z) M 1O " yw . c Asztoo, the function f(z) - . d. As z too, the function f(2)= behaves like: 1TM z²+ 6z Preview 62²-4z 12z-20 behaves like: syntax error behaves like Preview 52²-8a²+ 10z 2x² +10 Preview syntax error behaves like: syntax error
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